Coordinating multiple devices in a product purchasing system

A computer-implemented method, comprising:

• receiving, by a server system and as having been sent by a first computing device, a request to purchase a product, wherein:
• the first computing device is one of multiple computing devices that are assigned to a user account,
• the received request to purchase the product was sent by the first computing device as a result of a user of the first computing device providing input to purchase the product from an interface that is provided by a third-party application program, and
• the product is for use by the third-party application program;
• requesting, by the server system as a result of receiving the request to purchase the product, purchase of the product;
• receiving, by the server system as a result of requesting the purchase of the product, an indication that the product has been purchased;
• sending, by the server system and for receipt by the first computing device subsequent to receiving the indication that the product has been purchased, a first indication that the product has been purchased;
• and
• identifying, by the server system, that a second computing device is another of the multiple computing devices that are assigned to the user account;
• and
• sending, by the server system and for receipt by the second computing device subsequent to receiving the indication that the product has been purchased and without being in response to a request from the second computing device, a second indication that the product has been purchased so as to permit the second computing device to provide the product for use by a user of the second computing device.

A computer-implemented method, comprising:

• providing, by a first computing device, a user interface that is specified by a third-party application program executing on the first computing device, the user interface including a user interface element with which a user of the first computing device is able to initiate purchase of a product that is for use by the third-party application program;
• receiving, by the first computing device, user input that selects the user interface element;
• sending, by the first computing device and for receipt by a server system, a request to purchase the product;
• receiving, by the first computing device and as having been sent by the server system subsequent to the first computing device sending the request to purchase the product, a first indication that the product has been purchased;
• and
• receiving, by a second computing device and as having been sent by the server system subsequent to the first computing device sending the request to purchase the product and without a request from the second computing device, a second indication that the product has been purchased so as to permit the second computing device to provide the product for use by a user of the second computing device, wherein the first computing device and the second computing device are both assigned to a user account.