Equal Area Projections

When looking at the Equal Area Projections, we notice that the Sinusoidal and Cylindraical Equal Area maps have different distances from Washington, D.C. and Kabul by a difference of about 3,000 miles! This difference occurs because equal area projections are not desinged to measure distance accurately. As one may tell by the name, Equal Area Projections preserve area on a map, not so much distance. This is apparent by the large difference between my two maps.