Finding the Third Proportional to 562,299 and 1,214,409
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Solution
The third proportional to 562,299 and 1,214,409 is: 2,622,784.71
Step by Step Solution
- Step 1: Write the proportion equation
562,299 : 1,214,409 = 1,214,409 : x - Step 2: Convert to fraction form
562,299/1,214,409 = 1,214,409/x - Step 3: Cross multiply
562,299x = 1,214,409 × 1,214,409 - Step 4: Simplify right side
562,299x = 1,474,789,219,281 - Step 5: Solve for x
x = 1,474,789,219,281/562,299 - Step 6: Final answer
x = 2,622,784.71
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.