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Finding the Third Proportional to 747,366 and 1,157,769

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Solution

The third proportional to 747,366 and 1,157,769 is: 1,793,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,366 : 1,157,769 = 1,157,769 : x
  2. Step 2: Convert to fraction form
    747,366/1,157,769 = 1,157,769/x
  3. Step 3: Cross multiply
    747,366x = 1,157,769 × 1,157,769
  4. Step 4: Simplify right side
    747,366x = 1,340,429,057,361
  5. Step 5: Solve for x
    x = 1,340,429,057,361/747,366
  6. Step 6: Final answer
    x = 1,793,537.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.