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Finding the Third Proportional to 747,531 and 1,121,065.50

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Solution

The third proportional to 747,531 and 1,121,065.50 is: 1,681,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,531 : 1,121,065.50 = 1,121,065.50 : x
  2. Step 2: Convert to fraction form
    747,531/1,121,065.50 = 1,121,065.50/x
  3. Step 3: Cross multiply
    747,531x = 1,121,065.50 × 1,121,065.50
  4. Step 4: Simplify right side
    747,531x = 1,256,787,855,290.25
  5. Step 5: Solve for x
    x = 1,256,787,855,290.25/747,531
  6. Step 6: Final answer
    x = 1,681,251.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.