Leslie wants to retire in $32$ years when she turns $65.$ Leslie wants to have enough money to replace $90\%$ of her current income less what she expects to receive from Social Security. She expects to receive $$25,000$ per year from Social Security in today's dollars. Leslie is conservative and wants to assume a $5\%$ annual investment rate of return and assumes that inflation will be $2\%$ per year. Based on her family history, Leslie expects that she will live to be $90$ years old. If Leslie currently earns $$75,000$ per year and expects her raises to equal the inflation rate, approximately how much does she need at retirement to fulfill her retirement goals?

a$.$ $$3,782,831.$

b$.$ $$1,445,146.$

c$.$ $$3,373,221.$

d$.$ $$1,403,856$