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Finding the Third Proportional to 409,227 and 964,656

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Solution

The third proportional to 409,227 and 964,656 is: 2,273,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,227 : 964,656 = 964,656 : x
  2. Step 2: Convert to fraction form
    409,227/964,656 = 964,656/x
  3. Step 3: Cross multiply
    409,227x = 964,656 × 964,656
  4. Step 4: Simplify right side
    409,227x = 930,561,198,336
  5. Step 5: Solve for x
    x = 930,561,198,336/409,227
  6. Step 6: Final answer
    x = 2,273,948.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.