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Finding the Third Proportional to 2,182,131 and 4,741,974

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Solution

The third proportional to 2,182,131 and 4,741,974 is: 10,304,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,131 : 4,741,974 = 4,741,974 : x
  2. Step 2: Convert to fraction form
    2,182,131/4,741,974 = 4,741,974/x
  3. Step 3: Cross multiply
    2,182,131x = 4,741,974 × 4,741,974
  4. Step 4: Simplify right side
    2,182,131x = 22,486,317,416,676
  5. Step 5: Solve for x
    x = 22,486,317,416,676/2,182,131
  6. Step 6: Final answer
    x = 10,304,751.37

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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.