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Finding the Third Proportional to 638,472 and 952,170.75

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Solution

The third proportional to 638,472 and 952,170.75 is: 1,419,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,472 : 952,170.75 = 952,170.75 : x
  2. Step 2: Convert to fraction form
    638,472/952,170.75 = 952,170.75/x
  3. Step 3: Cross multiply
    638,472x = 952,170.75 × 952,170.75
  4. Step 4: Simplify right side
    638,472x = 906,629,137,155.56
  5. Step 5: Solve for x
    x = 906,629,137,155.56/638,472
  6. Step 6: Final answer
    x = 1,419,998.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.