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Finding the Third Proportional to 2,735,144 and 5,951,916

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Solution

The third proportional to 2,735,144 and 5,951,916 is: 12,951,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,144 : 5,951,916 = 5,951,916 : x
  2. Step 2: Convert to fraction form
    2,735,144/5,951,916 = 5,951,916/x
  3. Step 3: Cross multiply
    2,735,144x = 5,951,916 × 5,951,916
  4. Step 4: Simplify right side
    2,735,144x = 35,425,304,071,056
  5. Step 5: Solve for x
    x = 35,425,304,071,056/2,735,144
  6. Step 6: Final answer
    x = 12,951,897.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.