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Finding the Third Proportional to 2,149,544 and 4,634,744

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Solution

The third proportional to 2,149,544 and 4,634,744 is: 9,993,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149,544 : 4,634,744 = 4,634,744 : x
  2. Step 2: Convert to fraction form
    2,149,544/4,634,744 = 4,634,744/x
  3. Step 3: Cross multiply
    2,149,544x = 4,634,744 × 4,634,744
  4. Step 4: Simplify right side
    2,149,544x = 21,480,851,945,536
  5. Step 5: Solve for x
    x = 21,480,851,945,536/2,149,544
  6. Step 6: Final answer
    x = 9,993,213.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.