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Finding the Third Proportional to 1,177,742 and 2,542,108

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Solution

The third proportional to 1,177,742 and 2,542,108 is: 5,487,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,742 : 2,542,108 = 2,542,108 : x
  2. Step 2: Convert to fraction form
    1,177,742/2,542,108 = 2,542,108/x
  3. Step 3: Cross multiply
    1,177,742x = 2,542,108 × 2,542,108
  4. Step 4: Simplify right side
    1,177,742x = 6,462,313,083,664
  5. Step 5: Solve for x
    x = 6,462,313,083,664/1,177,742
  6. Step 6: Final answer
    x = 5,487,036.28

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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.