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Finding the Third Proportional to 1,121,742 and 2,432,754

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Solution

The third proportional to 1,121,742 and 2,432,754 is: 5,275,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,742 : 2,432,754 = 2,432,754 : x
  2. Step 2: Convert to fraction form
    1,121,742/2,432,754 = 2,432,754/x
  3. Step 3: Cross multiply
    1,121,742x = 2,432,754 × 2,432,754
  4. Step 4: Simplify right side
    1,121,742x = 5,918,292,024,516
  5. Step 5: Solve for x
    x = 5,918,292,024,516/1,121,742
  6. Step 6: Final answer
    x = 5,275,983.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.