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Finding the Third Proportional to 1,467,830 and 2,067,015

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Solution

The third proportional to 1,467,830 and 2,067,015 is: 2,910,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,830 : 2,067,015 = 2,067,015 : x
  2. Step 2: Convert to fraction form
    1,467,830/2,067,015 = 2,067,015/x
  3. Step 3: Cross multiply
    1,467,830x = 2,067,015 × 2,067,015
  4. Step 4: Simplify right side
    1,467,830x = 4,272,551,010,225
  5. Step 5: Solve for x
    x = 4,272,551,010,225/1,467,830
  6. Step 6: Final answer
    x = 2,910,794.17

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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.