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Finding the Third Proportional to 641,924 and 897,422

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Solution

The third proportional to 641,924 and 897,422 is: 1,254,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,924 : 897,422 = 897,422 : x
  2. Step 2: Convert to fraction form
    641,924/897,422 = 897,422/x
  3. Step 3: Cross multiply
    641,924x = 897,422 × 897,422
  4. Step 4: Simplify right side
    641,924x = 805,366,246,084
  5. Step 5: Solve for x
    x = 805,366,246,084/641,924
  6. Step 6: Final answer
    x = 1,254,613.08

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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.