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Finding the Third Proportional to 641,972.25 and 1,518,193.13

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Solution

The third proportional to 641,972.25 and 1,518,193.13 is: 3,590,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,972.25 : 1,518,193.13 = 1,518,193.13 : x
  2. Step 2: Convert to fraction form
    641,972.25/1,518,193.13 = 1,518,193.13/x
  3. Step 3: Cross multiply
    641,972.25x = 1,518,193.13 × 1,518,193.13
  4. Step 4: Simplify right side
    641,972.25x = 2,304,910,364,797.27
  5. Step 5: Solve for x
    x = 2,304,910,364,797.27/641,972.25
  6. Step 6: Final answer
    x = 3,590,358.25

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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.