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Finding the Third Proportional to 814.43 and 1,922.17

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Solution

The third proportional to 814.43 and 1,922.17 is: 4,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.43 : 1,922.17 = 1,922.17 : x
  2. Step 2: Convert to fraction form
    814.43/1,922.17 = 1,922.17/x
  3. Step 3: Cross multiply
    814.43x = 1,922.17 × 1,922.17
  4. Step 4: Simplify right side
    814.43x = 3,694,729.70
  5. Step 5: Solve for x
    x = 3,694,729.70/814.43
  6. Step 6: Final answer
    x = 4,536.59

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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.