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Finding the Third Proportional to 587,722 and 812,098

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Solution

The third proportional to 587,722 and 812,098 is: 1,122,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,722 : 812,098 = 812,098 : x
  2. Step 2: Convert to fraction form
    587,722/812,098 = 812,098/x
  3. Step 3: Cross multiply
    587,722x = 812,098 × 812,098
  4. Step 4: Simplify right side
    587,722x = 659,503,161,604
  5. Step 5: Solve for x
    x = 659,503,161,604/587,722
  6. Step 6: Final answer
    x = 1,122,134.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.