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Finding the Third Proportional to 1,204,317 and 1,640,353

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Solution

The third proportional to 1,204,317 and 1,640,353 is: 2,234,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,317 : 1,640,353 = 1,640,353 : x
  2. Step 2: Convert to fraction form
    1,204,317/1,640,353 = 1,640,353/x
  3. Step 3: Cross multiply
    1,204,317x = 1,640,353 × 1,640,353
  4. Step 4: Simplify right side
    1,204,317x = 2,690,757,964,609
  5. Step 5: Solve for x
    x = 2,690,757,964,609/1,204,317
  6. Step 6: Final answer
    x = 2,234,260.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.