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Finding the Third Proportional to 609,494 and 929,711

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Solution

The third proportional to 609,494 and 929,711 is: 1,418,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,494 : 929,711 = 929,711 : x
  2. Step 2: Convert to fraction form
    609,494/929,711 = 929,711/x
  3. Step 3: Cross multiply
    609,494x = 929,711 × 929,711
  4. Step 4: Simplify right side
    609,494x = 864,362,543,521
  5. Step 5: Solve for x
    x = 864,362,543,521/609,494
  6. Step 6: Final answer
    x = 1,418,164.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.