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Finding the Third Proportional to 812,614.78 and 1,260,000.56

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Solution

The third proportional to 812,614.78 and 1,260,000.56 is: 1,953,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,614.78 : 1,260,000.56 = 1,260,000.56 : x
  2. Step 2: Convert to fraction form
    812,614.78/1,260,000.56 = 1,260,000.56/x
  3. Step 3: Cross multiply
    812,614.78x = 1,260,000.56 × 1,260,000.56
  4. Step 4: Simplify right side
    812,614.78x = 1,587,601,417,500.32
  5. Step 5: Solve for x
    x = 1,587,601,417,500.32/812,614.78
  6. Step 6: Final answer
    x = 1,953,694.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.