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Finding the Third Proportional to 2,132,022 and 3,241,689

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Solution

The third proportional to 2,132,022 and 3,241,689 is: 4,928,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,022 : 3,241,689 = 3,241,689 : x
  2. Step 2: Convert to fraction form
    2,132,022/3,241,689 = 3,241,689/x
  3. Step 3: Cross multiply
    2,132,022x = 3,241,689 × 3,241,689
  4. Step 4: Simplify right side
    2,132,022x = 10,508,547,572,721
  5. Step 5: Solve for x
    x = 10,508,547,572,721/2,132,022
  6. Step 6: Final answer
    x = 4,928,911.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.