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Finding the Third Proportional to 609,404 and 1,320,499

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Solution

The third proportional to 609,404 and 1,320,499 is: 2,861,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,404 : 1,320,499 = 1,320,499 : x
  2. Step 2: Convert to fraction form
    609,404/1,320,499 = 1,320,499/x
  3. Step 3: Cross multiply
    609,404x = 1,320,499 × 1,320,499
  4. Step 4: Simplify right side
    609,404x = 1,743,717,609,001
  5. Step 5: Solve for x
    x = 1,743,717,609,001/609,404
  6. Step 6: Final answer
    x = 2,861,349.14

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