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Finding the Third Proportional to 1,217.81 and 1,822.22

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Solution

The third proportional to 1,217.81 and 1,822.22 is: 2,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.81 : 1,822.22 = 1,822.22 : x
  2. Step 2: Convert to fraction form
    1,217.81/1,822.22 = 1,822.22/x
  3. Step 3: Cross multiply
    1,217.81x = 1,822.22 × 1,822.22
  4. Step 4: Simplify right side
    1,217.81x = 3,320,481.17
  5. Step 5: Solve for x
    x = 3,320,481.17/1,217.81
  6. Step 6: Final answer
    x = 2,726.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.