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Finding the Third Proportional to 1,522 and 2,199

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Solution

The third proportional to 1,522 and 2,199 is: 3,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522 : 2,199 = 2,199 : x
  2. Step 2: Convert to fraction form
    1,522/2,199 = 2,199/x
  3. Step 3: Cross multiply
    1,522x = 2,199 × 2,199
  4. Step 4: Simplify right side
    1,522x = 4,835,601
  5. Step 5: Solve for x
    x = 4,835,601/1,522
  6. Step 6: Final answer
    x = 3,177.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.