At $48,$ you settle back down at a new job. Your starting salary is $$180,000$ per year, and this salary is expected to increase at a rate of $6\%$ each year. You begin saving for retirement again by placing $5\%$ of your salary each year into the original retirement savings account that is earning $10\%$ interest, compounded yearly. Note, the first deposit will happen at age $49.$ At $65$ you make your last deposit into the savings account and decide to retire.

What is the balance of your retirement account immediately after the last deposit?