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Finding the Third Proportional to 3,832,414 and 6,011,917

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Solution

The third proportional to 3,832,414 and 6,011,917 is: 9,430,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832,414 : 6,011,917 = 6,011,917 : x
  2. Step 2: Convert to fraction form
    3,832,414/6,011,917 = 6,011,917/x
  3. Step 3: Cross multiply
    3,832,414x = 6,011,917 × 6,011,917
  4. Step 4: Simplify right side
    3,832,414x = 36,143,146,014,889
  5. Step 5: Solve for x
    x = 36,143,146,014,889/3,832,414
  6. Step 6: Final answer
    x = 9,430,908.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.