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Finding the Third Proportional to 687,606.47 and 1,010,337.05

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Solution

The third proportional to 687,606.47 and 1,010,337.05 is: 1,484,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,606.47 : 1,010,337.05 = 1,010,337.05 : x
  2. Step 2: Convert to fraction form
    687,606.47/1,010,337.05 = 1,010,337.05/x
  3. Step 3: Cross multiply
    687,606.47x = 1,010,337.05 × 1,010,337.05
  4. Step 4: Simplify right side
    687,606.47x = 1,020,780,948,288.10
  5. Step 5: Solve for x
    x = 1,020,780,948,288.10/687,606.47
  6. Step 6: Final answer
    x = 1,484,542.39

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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.