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Finding the Third Proportional to 451,645.88 and 982,023.75

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Solution

The third proportional to 451,645.88 and 982,023.75 is: 2,135,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,645.88 : 982,023.75 = 982,023.75 : x
  2. Step 2: Convert to fraction form
    451,645.88/982,023.75 = 982,023.75/x
  3. Step 3: Cross multiply
    451,645.88x = 982,023.75 × 982,023.75
  4. Step 4: Simplify right side
    451,645.88x = 964,370,645,564.06
  5. Step 5: Solve for x
    x = 964,370,645,564.06/451,645.88
  6. Step 6: Final answer
    x = 2,135,236.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.