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Finding the Third Proportional to 809,452 and 1,187,934

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Solution

The third proportional to 809,452 and 1,187,934 is: 1,743,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,452 : 1,187,934 = 1,187,934 : x
  2. Step 2: Convert to fraction form
    809,452/1,187,934 = 1,187,934/x
  3. Step 3: Cross multiply
    809,452x = 1,187,934 × 1,187,934
  4. Step 4: Simplify right side
    809,452x = 1,411,187,188,356
  5. Step 5: Solve for x
    x = 1,411,187,188,356/809,452
  6. Step 6: Final answer
    x = 1,743,385.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.