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Finding the Third Proportional to 451,845 and 982,408.50

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Solution

The third proportional to 451,845 and 982,408.50 is: 2,135,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,845 : 982,408.50 = 982,408.50 : x
  2. Step 2: Convert to fraction form
    451,845/982,408.50 = 982,408.50/x
  3. Step 3: Cross multiply
    451,845x = 982,408.50 × 982,408.50
  4. Step 4: Simplify right side
    451,845x = 965,126,460,872.25
  5. Step 5: Solve for x
    x = 965,126,460,872.25/451,845
  6. Step 6: Final answer
    x = 2,135,968.00

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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.