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Finding the Third Proportional to 2,338,229 and 5,463,161

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Solution

The third proportional to 2,338,229 and 5,463,161 is: 12,764,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,229 : 5,463,161 = 5,463,161 : x
  2. Step 2: Convert to fraction form
    2,338,229/5,463,161 = 5,463,161/x
  3. Step 3: Cross multiply
    2,338,229x = 5,463,161 × 5,463,161
  4. Step 4: Simplify right side
    2,338,229x = 29,846,128,111,921
  5. Step 5: Solve for x
    x = 29,846,128,111,921/2,338,229
  6. Step 6: Final answer
    x = 12,764,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.