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Finding the Third Proportional to 3,968,128.50 and 5,936,766

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Solution

The third proportional to 3,968,128.50 and 5,936,766 is: 8,882,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968,128.50 : 5,936,766 = 5,936,766 : x
  2. Step 2: Convert to fraction form
    3,968,128.50/5,936,766 = 5,936,766/x
  3. Step 3: Cross multiply
    3,968,128.50x = 5,936,766 × 5,936,766
  4. Step 4: Simplify right side
    3,968,128.50x = 35,245,190,538,756
  5. Step 5: Solve for x
    x = 35,245,190,538,756/3,968,128.50
  6. Step 6: Final answer
    x = 8,882,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.