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Finding the Third Proportional to 3,741,876 and 5,646,672

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Solution

The third proportional to 3,741,876 and 5,646,672 is: 8,521,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,876 : 5,646,672 = 5,646,672 : x
  2. Step 2: Convert to fraction form
    3,741,876/5,646,672 = 5,646,672/x
  3. Step 3: Cross multiply
    3,741,876x = 5,646,672 × 5,646,672
  4. Step 4: Simplify right side
    3,741,876x = 31,884,904,675,584
  5. Step 5: Solve for x
    x = 31,884,904,675,584/3,741,876
  6. Step 6: Final answer
    x = 8,521,101.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.