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Finding the Third Proportional to 591,446 and 836,883

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Solution

The third proportional to 591,446 and 836,883 is: 1,184,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,446 : 836,883 = 836,883 : x
  2. Step 2: Convert to fraction form
    591,446/836,883 = 836,883/x
  3. Step 3: Cross multiply
    591,446x = 836,883 × 836,883
  4. Step 4: Simplify right side
    591,446x = 700,373,155,689
  5. Step 5: Solve for x
    x = 700,373,155,689/591,446
  6. Step 6: Final answer
    x = 1,184,170.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.