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Finding the Third Proportional to 3,691,234.50 and 5,778,778.50

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Solution

The third proportional to 3,691,234.50 and 5,778,778.50 is: 9,046,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691,234.50 : 5,778,778.50 = 5,778,778.50 : x
  2. Step 2: Convert to fraction form
    3,691,234.50/5,778,778.50 = 5,778,778.50/x
  3. Step 3: Cross multiply
    3,691,234.50x = 5,778,778.50 × 5,778,778.50
  4. Step 4: Simplify right side
    3,691,234.50x = 33,394,280,952,062.25
  5. Step 5: Solve for x
    x = 33,394,280,952,062.25/3,691,234.50
  6. Step 6: Final answer
    x = 9,046,913.97

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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.