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Finding the Third Proportional to 747,986 and 1,121,691

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Solution

The third proportional to 747,986 and 1,121,691 is: 1,682,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,986 : 1,121,691 = 1,121,691 : x
  2. Step 2: Convert to fraction form
    747,986/1,121,691 = 1,121,691/x
  3. Step 3: Cross multiply
    747,986x = 1,121,691 × 1,121,691
  4. Step 4: Simplify right side
    747,986x = 1,258,190,699,481
  5. Step 5: Solve for x
    x = 1,258,190,699,481/747,986
  6. Step 6: Final answer
    x = 1,682,104.61

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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.