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Finding the Third Proportional to 591,440 and 836,872

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Solution

The third proportional to 591,440 and 836,872 is: 1,184,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,440 : 836,872 = 836,872 : x
  2. Step 2: Convert to fraction form
    591,440/836,872 = 836,872/x
  3. Step 3: Cross multiply
    591,440x = 836,872 × 836,872
  4. Step 4: Simplify right side
    591,440x = 700,354,744,384
  5. Step 5: Solve for x
    x = 700,354,744,384/591,440
  6. Step 6: Final answer
    x = 1,184,151.81

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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.