A $\mathrm{}40$ year$-$old person plans to retire at $6\mathrm{}$7 and live until $\mathrm{}93.$ During retirement, the person will take a growing annuity from the retirement account. The amount in the first year will be $$\mathrm{}90,000$ with a $3\%$ growth rate. 

 

 

 The return on savings after retirement is $6\%.$  The person would like to leave a $$\mathrm{}600,000$ donation to charity at the time of death. 

 

How much will the person have to have at retirement to meet this goal?