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Finding the Third Proportional to 643,112 and 1,396,936

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Solution

The third proportional to 643,112 and 1,396,936 is: 3,034,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,112 : 1,396,936 = 1,396,936 : x
  2. Step 2: Convert to fraction form
    643,112/1,396,936 = 1,396,936/x
  3. Step 3: Cross multiply
    643,112x = 1,396,936 × 1,396,936
  4. Step 4: Simplify right side
    643,112x = 1,951,430,188,096
  5. Step 5: Solve for x
    x = 1,951,430,188,096/643,112
  6. Step 6: Final answer
    x = 3,034,355.12

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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.