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Finding the Third Proportional to 1,397,616 and 2,108,016

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Solution

The third proportional to 1,397,616 and 2,108,016 is: 3,179,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,616 : 2,108,016 = 2,108,016 : x
  2. Step 2: Convert to fraction form
    1,397,616/2,108,016 = 2,108,016/x
  3. Step 3: Cross multiply
    1,397,616x = 2,108,016 × 2,108,016
  4. Step 4: Simplify right side
    1,397,616x = 4,443,731,456,256
  5. Step 5: Solve for x
    x = 4,443,731,456,256/1,397,616
  6. Step 6: Final answer
    x = 3,179,508.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.