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Finding the Third Proportional to 1,023,854 and 2,221,744

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Solution

The third proportional to 1,023,854 and 2,221,744 is: 4,821,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,854 : 2,221,744 = 2,221,744 : x
  2. Step 2: Convert to fraction form
    1,023,854/2,221,744 = 2,221,744/x
  3. Step 3: Cross multiply
    1,023,854x = 2,221,744 × 2,221,744
  4. Step 4: Simplify right side
    1,023,854x = 4,936,146,401,536
  5. Step 5: Solve for x
    x = 4,936,146,401,536/1,023,854
  6. Step 6: Final answer
    x = 4,821,142.86

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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.