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Finding the Third Proportional to 1,244,169 and 2,729,394

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Solution

The third proportional to 1,244,169 and 2,729,394 is: 5,987,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,169 : 2,729,394 = 2,729,394 : x
  2. Step 2: Convert to fraction form
    1,244,169/2,729,394 = 2,729,394/x
  3. Step 3: Cross multiply
    1,244,169x = 2,729,394 × 2,729,394
  4. Step 4: Simplify right side
    1,244,169x = 7,449,591,607,236
  5. Step 5: Solve for x
    x = 7,449,591,607,236/1,244,169
  6. Step 6: Final answer
    x = 5,987,604.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.