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Finding the Third Proportional to 649,827 and 1,425,204

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Solution

The third proportional to 649,827 and 1,425,204 is: 3,125,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,827 : 1,425,204 = 1,425,204 : x
  2. Step 2: Convert to fraction form
    649,827/1,425,204 = 1,425,204/x
  3. Step 3: Cross multiply
    649,827x = 1,425,204 × 1,425,204
  4. Step 4: Simplify right side
    649,827x = 2,031,206,441,616
  5. Step 5: Solve for x
    x = 2,031,206,441,616/649,827
  6. Step 6: Final answer
    x = 3,125,764.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.