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Finding the Third Proportional to 412,110 and 868,500

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Solution

The third proportional to 412,110 and 868,500 is: 1,830,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,110 : 868,500 = 868,500 : x
  2. Step 2: Convert to fraction form
    412,110/868,500 = 868,500/x
  3. Step 3: Cross multiply
    412,110x = 868,500 × 868,500
  4. Step 4: Simplify right side
    412,110x = 754,292,250,000
  5. Step 5: Solve for x
    x = 754,292,250,000/412,110
  6. Step 6: Final answer
    x = 1,830,317.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.