In $1895,$ the first U$.$S$.$ Open Golf Championship was held. The winner's prize money was $$150.$ In $2022,$ the winner's check was $$3\mathrm{.}15$

million

What was the perentage increase per year in the winner's check over this period?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Answer is complete and correct.

If the winner's prize increases at the same rate, what will it be in $2047?$

Note: Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to $2$ decimal places, e$.$g$.,$

$1,234,567\mathrm{.}89$

Answer is complete but not entirely correct.