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Finding the Third Proportional to 581,741 and 853,457

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Solution

The third proportional to 581,741 and 853,457 is: 1,252,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,741 : 853,457 = 853,457 : x
  2. Step 2: Convert to fraction form
    581,741/853,457 = 853,457/x
  3. Step 3: Cross multiply
    581,741x = 853,457 × 853,457
  4. Step 4: Simplify right side
    581,741x = 728,388,850,849
  5. Step 5: Solve for x
    x = 728,388,850,849/581,741
  6. Step 6: Final answer
    x = 1,252,084.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.