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Finding the Third Proportional to 587,724 and 812,101

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Solution

The third proportional to 587,724 and 812,101 is: 1,122,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,724 : 812,101 = 812,101 : x
  2. Step 2: Convert to fraction form
    587,724/812,101 = 812,101/x
  3. Step 3: Cross multiply
    587,724x = 812,101 × 812,101
  4. Step 4: Simplify right side
    587,724x = 659,508,034,201
  5. Step 5: Solve for x
    x = 659,508,034,201/587,724
  6. Step 6: Final answer
    x = 1,122,139.02

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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.