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Finding the Third Proportional to 2,059,974 and 4,474,593

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Solution

The third proportional to 2,059,974 and 4,474,593 is: 9,719,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059,974 : 4,474,593 = 4,474,593 : x
  2. Step 2: Convert to fraction form
    2,059,974/4,474,593 = 4,474,593/x
  3. Step 3: Cross multiply
    2,059,974x = 4,474,593 × 4,474,593
  4. Step 4: Simplify right side
    2,059,974x = 20,021,982,515,649
  5. Step 5: Solve for x
    x = 20,021,982,515,649/2,059,974
  6. Step 6: Final answer
    x = 9,719,531.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.