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Finding the Third Proportional to 1,204,729.50 and 1,766,877

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Solution

The third proportional to 1,204,729.50 and 1,766,877 is: 2,591,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,729.50 : 1,766,877 = 1,766,877 : x
  2. Step 2: Convert to fraction form
    1,204,729.50/1,766,877 = 1,766,877/x
  3. Step 3: Cross multiply
    1,204,729.50x = 1,766,877 × 1,766,877
  4. Step 4: Simplify right side
    1,204,729.50x = 3,121,854,333,129
  5. Step 5: Solve for x
    x = 3,121,854,333,129/1,204,729.50
  6. Step 6: Final answer
    x = 2,591,332.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.