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Finding the Third Proportional to 1,281,766 and 2,729,204

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Solution

The third proportional to 1,281,766 and 2,729,204 is: 5,811,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,766 : 2,729,204 = 2,729,204 : x
  2. Step 2: Convert to fraction form
    1,281,766/2,729,204 = 2,729,204/x
  3. Step 3: Cross multiply
    1,281,766x = 2,729,204 × 2,729,204
  4. Step 4: Simplify right side
    1,281,766x = 7,448,554,473,616
  5. Step 5: Solve for x
    x = 7,448,554,473,616/1,281,766
  6. Step 6: Final answer
    x = 5,811,165.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.