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Finding the Third Proportional to 2,276,649 and 4,848,249.38

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Solution

The third proportional to 2,276,649 and 4,848,249.38 is: 10,324,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,649 : 4,848,249.38 = 4,848,249.38 : x
  2. Step 2: Convert to fraction form
    2,276,649/4,848,249.38 = 4,848,249.38/x
  3. Step 3: Cross multiply
    2,276,649x = 4,848,249.38 × 4,848,249.38
  4. Step 4: Simplify right side
    2,276,649x = 23,505,522,002,187.89
  5. Step 5: Solve for x
    x = 23,505,522,002,187.89/2,276,649
  6. Step 6: Final answer
    x = 10,324,613.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.