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Finding the Third Proportional to 2,204,824 and 4,724,568

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Solution

The third proportional to 2,204,824 and 4,724,568 is: 10,123,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204,824 : 4,724,568 = 4,724,568 : x
  2. Step 2: Convert to fraction form
    2,204,824/4,724,568 = 4,724,568/x
  3. Step 3: Cross multiply
    2,204,824x = 4,724,568 × 4,724,568
  4. Step 4: Simplify right side
    2,204,824x = 22,321,542,786,624
  5. Step 5: Solve for x
    x = 22,321,542,786,624/2,204,824
  6. Step 6: Final answer
    x = 10,123,956.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.