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Finding the Third Proportional to 641,496 and 896,849

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Solution

The third proportional to 641,496 and 896,849 is: 1,253,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,496 : 896,849 = 896,849 : x
  2. Step 2: Convert to fraction form
    641,496/896,849 = 896,849/x
  3. Step 3: Cross multiply
    641,496x = 896,849 × 896,849
  4. Step 4: Simplify right side
    641,496x = 804,338,128,801
  5. Step 5: Solve for x
    x = 804,338,128,801/641,496
  6. Step 6: Final answer
    x = 1,253,847.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.