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Finding the Third Proportional to 3,205,684 and 6,542,171

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Solution

The third proportional to 3,205,684 and 6,542,171 is: 13,351,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,684 : 6,542,171 = 6,542,171 : x
  2. Step 2: Convert to fraction form
    3,205,684/6,542,171 = 6,542,171/x
  3. Step 3: Cross multiply
    3,205,684x = 6,542,171 × 6,542,171
  4. Step 4: Simplify right side
    3,205,684x = 42,800,001,393,241
  5. Step 5: Solve for x
    x = 42,800,001,393,241/3,205,684
  6. Step 6: Final answer
    x = 13,351,285.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.