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Finding the Third Proportional to 534,776 and 1,161,766

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Solution

The third proportional to 534,776 and 1,161,766 is: 2,523,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,776 : 1,161,766 = 1,161,766 : x
  2. Step 2: Convert to fraction form
    534,776/1,161,766 = 1,161,766/x
  3. Step 3: Cross multiply
    534,776x = 1,161,766 × 1,161,766
  4. Step 4: Simplify right side
    534,776x = 1,349,700,238,756
  5. Step 5: Solve for x
    x = 1,349,700,238,756/534,776
  6. Step 6: Final answer
    x = 2,523,860.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.