Williams & Sons last year reported sales of $$17$ million, cost of goods sold $($COGS$)$ of $$12$ million and an inventory turnover ratio of $4.$ The company is now adopting a new inventory system. If the new system is able to reduce the firm's inventory level and increase the firm's inventory turnover ratio to $6$ while maintaining the same level of sales and COGS, how much cash will be freed up$?$ Do not round intermediate calculations. Round your answer to the nearest dollar.

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