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Finding the Third Proportional to 3,407,938 and 7,294,694

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Solution

The third proportional to 3,407,938 and 7,294,694 is: 15,614,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,938 : 7,294,694 = 7,294,694 : x
  2. Step 2: Convert to fraction form
    3,407,938/7,294,694 = 7,294,694/x
  3. Step 3: Cross multiply
    3,407,938x = 7,294,694 × 7,294,694
  4. Step 4: Simplify right side
    3,407,938x = 53,212,560,553,636
  5. Step 5: Solve for x
    x = 53,212,560,553,636/3,407,938
  6. Step 6: Final answer
    x = 15,614,298.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.