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Finding the Third Proportional to 412,344 and 868,944

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Solution

The third proportional to 412,344 and 868,944 is: 1,831,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,344 : 868,944 = 868,944 : x
  2. Step 2: Convert to fraction form
    412,344/868,944 = 868,944/x
  3. Step 3: Cross multiply
    412,344x = 868,944 × 868,944
  4. Step 4: Simplify right side
    412,344x = 755,063,675,136
  5. Step 5: Solve for x
    x = 755,063,675,136/412,344
  6. Step 6: Final answer
    x = 1,831,149.90

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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.