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Finding the Third Proportional to 667,726 and 1,414,906

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Solution

The third proportional to 667,726 and 1,414,906 is: 2,998,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,726 : 1,414,906 = 1,414,906 : x
  2. Step 2: Convert to fraction form
    667,726/1,414,906 = 1,414,906/x
  3. Step 3: Cross multiply
    667,726x = 1,414,906 × 1,414,906
  4. Step 4: Simplify right side
    667,726x = 2,001,958,988,836
  5. Step 5: Solve for x
    x = 2,001,958,988,836/667,726
  6. Step 6: Final answer
    x = 2,998,174.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.