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Finding the Third Proportional to 587,732 and 812,112

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Solution

The third proportional to 587,732 and 812,112 is: 1,122,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,732 : 812,112 = 812,112 : x
  2. Step 2: Convert to fraction form
    587,732/812,112 = 812,112/x
  3. Step 3: Cross multiply
    587,732x = 812,112 × 812,112
  4. Step 4: Simplify right side
    587,732x = 659,525,900,544
  5. Step 5: Solve for x
    x = 659,525,900,544/587,732
  6. Step 6: Final answer
    x = 1,122,154.15

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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.