You are saving for retirement. To live comfortably, you decide you will need to save

$$3,000,000$ by the time you are $65.$ Today is your $20$th birthday, and you decide,

starting today and continuing on every birthday up to and including your $65$ th birthday,

that you will put the same amount into a savings account. If the interest rate is $7\%,$

how much must you set aside each year to make sure that you will have $$3,000,000$

in the account on your $65$th birthday?

The amount to deposit each year must be $

$($Round to the nearest cent.$)$