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Finding the Third Proportional to 451,824.75 and 982,401.75

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Solution

The third proportional to 451,824.75 and 982,401.75 is: 2,136,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,824.75 : 982,401.75 = 982,401.75 : x
  2. Step 2: Convert to fraction form
    451,824.75/982,401.75 = 982,401.75/x
  3. Step 3: Cross multiply
    451,824.75x = 982,401.75 × 982,401.75
  4. Step 4: Simplify right side
    451,824.75x = 965,113,198,403.06
  5. Step 5: Solve for x
    x = 965,113,198,403.06/451,824.75
  6. Step 6: Final answer
    x = 2,136,034.38

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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.