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Finding the Third Proportional to 1,467,938 and 2,067,190

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Solution

The third proportional to 1,467,938 and 2,067,190 is: 2,911,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,938 : 2,067,190 = 2,067,190 : x
  2. Step 2: Convert to fraction form
    1,467,938/2,067,190 = 2,067,190/x
  3. Step 3: Cross multiply
    1,467,938x = 2,067,190 × 2,067,190
  4. Step 4: Simplify right side
    1,467,938x = 4,273,274,496,100
  5. Step 5: Solve for x
    x = 4,273,274,496,100/1,467,938
  6. Step 6: Final answer
    x = 2,911,072.88

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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.