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Finding the Third Proportional to 2,182,112 and 4,741,938

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Solution

The third proportional to 2,182,112 and 4,741,938 is: 10,304,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,112 : 4,741,938 = 4,741,938 : x
  2. Step 2: Convert to fraction form
    2,182,112/4,741,938 = 4,741,938/x
  3. Step 3: Cross multiply
    2,182,112x = 4,741,938 × 4,741,938
  4. Step 4: Simplify right side
    2,182,112x = 22,485,975,995,844
  5. Step 5: Solve for x
    x = 22,485,975,995,844/2,182,112
  6. Step 6: Final answer
    x = 10,304,684.63

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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.