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Finding the Third Proportional to 481,067 and 1,039,219

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Solution

The third proportional to 481,067 and 1,039,219 is: 2,244,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,067 : 1,039,219 = 1,039,219 : x
  2. Step 2: Convert to fraction form
    481,067/1,039,219 = 1,039,219/x
  3. Step 3: Cross multiply
    481,067x = 1,039,219 × 1,039,219
  4. Step 4: Simplify right side
    481,067x = 1,079,976,129,961
  5. Step 5: Solve for x
    x = 1,079,976,129,961/481,067
  6. Step 6: Final answer
    x = 2,244,959.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.