Amy is planning for retirement. She is currently $24$ and has $$0$ put away for retirement. She plans to retire at $62$ and live until $90($based on her medical condition$).$ She plans to spend $$54$k per year during retirement. Amy believes she can average an annual return of $7\%$ on her investments and plans to move her nest egg to safer investments yielding $1\mathrm{.}74\%$ annually after retiring. Based on this information, how much should Amy have saved before retiring?Note: Please enter your answer without the $"$$$"$ sign to be correctly graded by canvas.All income and rates are in real value, meaning inflation has already been accounted for.