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Finding the Third Proportional to 1,467,832 and 2,067,041

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Solution

The third proportional to 1,467,832 and 2,067,041 is: 2,910,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,832 : 2,067,041 = 2,067,041 : x
  2. Step 2: Convert to fraction form
    1,467,832/2,067,041 = 2,067,041/x
  3. Step 3: Cross multiply
    1,467,832x = 2,067,041 × 2,067,041
  4. Step 4: Simplify right side
    1,467,832x = 4,272,658,495,681
  5. Step 5: Solve for x
    x = 4,272,658,495,681/1,467,832
  6. Step 6: Final answer
    x = 2,910,863.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.