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Finding the Third Proportional to 2,057,834 and 4,522,930

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Solution

The third proportional to 2,057,834 and 4,522,930 is: 9,940,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,834 : 4,522,930 = 4,522,930 : x
  2. Step 2: Convert to fraction form
    2,057,834/4,522,930 = 4,522,930/x
  3. Step 3: Cross multiply
    2,057,834x = 4,522,930 × 4,522,930
  4. Step 4: Simplify right side
    2,057,834x = 20,456,895,784,900
  5. Step 5: Solve for x
    x = 20,456,895,784,900/2,057,834
  6. Step 6: Final answer
    x = 9,940,984.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.