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Finding the Third Proportional to 1,242,067.25 and 2,661,200.50

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Solution

The third proportional to 1,242,067.25 and 2,661,200.50 is: 5,701,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,067.25 : 2,661,200.50 = 2,661,200.50 : x
  2. Step 2: Convert to fraction form
    1,242,067.25/2,661,200.50 = 2,661,200.50/x
  3. Step 3: Cross multiply
    1,242,067.25x = 2,661,200.50 × 2,661,200.50
  4. Step 4: Simplify right side
    1,242,067.25x = 7,081,988,101,200.25
  5. Step 5: Solve for x
    x = 7,081,988,101,200.25/1,242,067.25
  6. Step 6: Final answer
    x = 5,701,775.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.