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Finding the Third Proportional to 1,233,942.75 and 2,751,453.56

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Solution

The third proportional to 1,233,942.75 and 2,751,453.56 is: 6,135,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,942.75 : 2,751,453.56 = 2,751,453.56 : x
  2. Step 2: Convert to fraction form
    1,233,942.75/2,751,453.56 = 2,751,453.56/x
  3. Step 3: Cross multiply
    1,233,942.75x = 2,751,453.56 × 2,751,453.56
  4. Step 4: Simplify right side
    1,233,942.75x = 7,570,496,706,593.94
  5. Step 5: Solve for x
    x = 7,570,496,706,593.94/1,233,942.75
  6. Step 6: Final answer
    x = 6,135,209.03

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.