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Finding the Third Proportional to 550,546 and 1,206,067

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Solution

The third proportional to 550,546 and 1,206,067 is: 2,642,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,546 : 1,206,067 = 1,206,067 : x
  2. Step 2: Convert to fraction form
    550,546/1,206,067 = 1,206,067/x
  3. Step 3: Cross multiply
    550,546x = 1,206,067 × 1,206,067
  4. Step 4: Simplify right side
    550,546x = 1,454,597,608,489
  5. Step 5: Solve for x
    x = 1,454,597,608,489/550,546
  6. Step 6: Final answer
    x = 2,642,100.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.