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Finding the Third Proportional to 947,109 and 1,444,302

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Solution

The third proportional to 947,109 and 1,444,302 is: 2,202,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,109 : 1,444,302 = 1,444,302 : x
  2. Step 2: Convert to fraction form
    947,109/1,444,302 = 1,444,302/x
  3. Step 3: Cross multiply
    947,109x = 1,444,302 × 1,444,302
  4. Step 4: Simplify right side
    947,109x = 2,086,008,267,204
  5. Step 5: Solve for x
    x = 2,086,008,267,204/947,109
  6. Step 6: Final answer
    x = 2,202,500.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.