Question 438765
{{{y = k*x^0.6}}}, where y = length of river and x = area of the basin.

==> {{{3034 = k*500000^0.6}}}
==> {{{k = 3034/500000^0.6 = 1.1551}}}, to 4 decimal places.
==> {{{y = 1.1551x^0.6}}}
==> for the Nile River 6700 km long, 
{{{6700 = 1.1551x^0.6}}}
==> {{{x^0.6 = 5800.17676}}}
==> {{{x = root(0.6, 5800.17676) }}} = 1,872,414.726 square kilometers of basin is drained.