A track assembly is disclosed for use with a mobile machine. The track assembly may have a plurality of crawler shoes. Each of the plurality of crawler shoes may include a ground engaging surface and first and second pairs of links laterally spaced apart on a side opposite the ground engaging surface. The track assembly may also have a first pin connecting the first pair of links of each of the plurality of crawler shoes to form a first continuous chain, and a second pin connecting the second pair of links of each of the plurality of crawler shoes to form a second continuous chain. The track assembly may further have a drive wheel having dual sprockets configured to simultaneously engage the first and second continuous chains.