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Finding the Third Proportional to 747,542 and 1,121,079

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Solution

The third proportional to 747,542 and 1,121,079 is: 1,681,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,542 : 1,121,079 = 1,121,079 : x
  2. Step 2: Convert to fraction form
    747,542/1,121,079 = 1,121,079/x
  3. Step 3: Cross multiply
    747,542x = 1,121,079 × 1,121,079
  4. Step 4: Simplify right side
    747,542x = 1,256,818,124,241
  5. Step 5: Solve for x
    x = 1,256,818,124,241/747,542
  6. Step 6: Final answer
    x = 1,681,267.57

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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.