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Finding the Third Proportional to 1,463 and 2,189

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Solution

The third proportional to 1,463 and 2,189 is: 3,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463 : 2,189 = 2,189 : x
  2. Step 2: Convert to fraction form
    1,463/2,189 = 2,189/x
  3. Step 3: Cross multiply
    1,463x = 2,189 × 2,189
  4. Step 4: Simplify right side
    1,463x = 4,791,721
  5. Step 5: Solve for x
    x = 4,791,721/1,463
  6. Step 6: Final answer
    x = 3,275.27

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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.