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Finding the Third Proportional to 2,023,694 and 4,309,568

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Solution

The third proportional to 2,023,694 and 4,309,568 is: 9,177,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,694 : 4,309,568 = 4,309,568 : x
  2. Step 2: Convert to fraction form
    2,023,694/4,309,568 = 4,309,568/x
  3. Step 3: Cross multiply
    2,023,694x = 4,309,568 × 4,309,568
  4. Step 4: Simplify right side
    2,023,694x = 18,572,376,346,624
  5. Step 5: Solve for x
    x = 18,572,376,346,624/2,023,694
  6. Step 6: Final answer
    x = 9,177,462.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.