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Finding the Third Proportional to 664,635.38 and 1,458,045.56

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Solution

The third proportional to 664,635.38 and 1,458,045.56 is: 3,198,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,635.38 : 1,458,045.56 = 1,458,045.56 : x
  2. Step 2: Convert to fraction form
    664,635.38/1,458,045.56 = 1,458,045.56/x
  3. Step 3: Cross multiply
    664,635.38x = 1,458,045.56 × 1,458,045.56
  4. Step 4: Simplify right side
    664,635.38x = 2,125,896,862,325.94
  5. Step 5: Solve for x
    x = 2,125,896,862,325.94/664,635.38
  6. Step 6: Final answer
    x = 3,198,591.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.