A long range jacketed projectile has a cavity defined in the base end of the projectile core that is substantially filled with polymer material during the jacketing process. The cavity is configured to lighten the core, which lightens the overall weight of the projectile, and move the center of gravity closer to the center of pressure when compared to a conventional long range projectile. The polymer jacket lightens the projectile weight, which when combined with the lighter core, allows the projectile to attain a flatter trajectory at increased maximum velocities.