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Finding the Third Proportional to 451,833.75 and 982,419.75

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Solution

The third proportional to 451,833.75 and 982,419.75 is: 2,136,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,833.75 : 982,419.75 = 982,419.75 : x
  2. Step 2: Convert to fraction form
    451,833.75/982,419.75 = 982,419.75/x
  3. Step 3: Cross multiply
    451,833.75x = 982,419.75 × 982,419.75
  4. Step 4: Simplify right side
    451,833.75x = 965,148,565,190.06
  5. Step 5: Solve for x
    x = 965,148,565,190.06/451,833.75
  6. Step 6: Final answer
    x = 2,136,070.10

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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.