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Finding the Third Proportional to 671,666 and 1,419,144

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Solution

The third proportional to 671,666 and 1,419,144 is: 2,998,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,666 : 1,419,144 = 1,419,144 : x
  2. Step 2: Convert to fraction form
    671,666/1,419,144 = 1,419,144/x
  3. Step 3: Cross multiply
    671,666x = 1,419,144 × 1,419,144
  4. Step 4: Simplify right side
    671,666x = 2,013,969,692,736
  5. Step 5: Solve for x
    x = 2,013,969,692,736/671,666
  6. Step 6: Final answer
    x = 2,998,469.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.