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Finding the Third Proportional to 1,177,760 and 2,542,016

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Solution

The third proportional to 1,177,760 and 2,542,016 is: 5,486,555.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,760 : 2,542,016 = 2,542,016 : x
  2. Step 2: Convert to fraction form
    1,177,760/2,542,016 = 2,542,016/x
  3. Step 3: Cross multiply
    1,177,760x = 2,542,016 × 2,542,016
  4. Step 4: Simplify right side
    1,177,760x = 6,461,845,344,256
  5. Step 5: Solve for x
    x = 6,461,845,344,256/1,177,760
  6. Step 6: Final answer
    x = 5,486,555.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.