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Finding the Third Proportional to 408,515 and 865,606

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Solution

The third proportional to 408,515 and 865,606 is: 1,834,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,515 : 865,606 = 865,606 : x
  2. Step 2: Convert to fraction form
    408,515/865,606 = 865,606/x
  3. Step 3: Cross multiply
    408,515x = 865,606 × 865,606
  4. Step 4: Simplify right side
    408,515x = 749,273,747,236
  5. Step 5: Solve for x
    x = 749,273,747,236/408,515
  6. Step 6: Final answer
    x = 1,834,140.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.