High torque threaded connections with triple taper thread profiles

A threaded connection, comprising:

• a first tubular member having a pin end defining an external thread profile;
• and
• a second tubular member having a box end defining an internal thread profile threadably engageable with the external thread profile of the pin end, wherein at least one of the external and internal thread profiles includes:
• a first section that extends at a first taper angle relative to a longitudinal axis of the threaded connection and exhibits a first thread pitch;
• a second section extending from the first section at a second taper angle relative to the longitudinal axis and exhibits a second thread pitch;
• and
• a third section extending from the second section at a third taper angle relative to the longitudinal axis and exhibits a third thread pitch, wherein the second taper angle is greater than each of the first and third taper angles.