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Finding the Third Proportional to 1,467,942 and 2,067,129

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Solution

The third proportional to 1,467,942 and 2,067,129 is: 2,910,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,942 : 2,067,129 = 2,067,129 : x
  2. Step 2: Convert to fraction form
    1,467,942/2,067,129 = 2,067,129/x
  3. Step 3: Cross multiply
    1,467,942x = 2,067,129 × 2,067,129
  4. Step 4: Simplify right side
    1,467,942x = 4,273,022,302,641
  5. Step 5: Solve for x
    x = 4,273,022,302,641/1,467,942
  6. Step 6: Final answer
    x = 2,910,893.14

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