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Finding the Third Proportional to 2,023,262 and 4,233,568

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Solution

The third proportional to 2,023,262 and 4,233,568 is: 8,858,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,262 : 4,233,568 = 4,233,568 : x
  2. Step 2: Convert to fraction form
    2,023,262/4,233,568 = 4,233,568/x
  3. Step 3: Cross multiply
    2,023,262x = 4,233,568 × 4,233,568
  4. Step 4: Simplify right side
    2,023,262x = 17,923,098,010,624
  5. Step 5: Solve for x
    x = 17,923,098,010,624/2,023,262
  6. Step 6: Final answer
    x = 8,858,515.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.