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Finding the Third Proportional to 4,065,791.50 and 5,420,319

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Solution

The third proportional to 4,065,791.50 and 5,420,319 is: 7,226,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065,791.50 : 5,420,319 = 5,420,319 : x
  2. Step 2: Convert to fraction form
    4,065,791.50/5,420,319 = 5,420,319/x
  3. Step 3: Cross multiply
    4,065,791.50x = 5,420,319 × 5,420,319
  4. Step 4: Simplify right side
    4,065,791.50x = 29,379,858,061,761
  5. Step 5: Solve for x
    x = 29,379,858,061,761/4,065,791.50
  6. Step 6: Final answer
    x = 7,226,110.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.