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Finding the Third Proportional to 2,052,175.50 and 4,498,374.75

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Solution

The third proportional to 2,052,175.50 and 4,498,374.75 is: 9,860,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,175.50 : 4,498,374.75 = 4,498,374.75 : x
  2. Step 2: Convert to fraction form
    2,052,175.50/4,498,374.75 = 4,498,374.75/x
  3. Step 3: Cross multiply
    2,052,175.50x = 4,498,374.75 × 4,498,374.75
  4. Step 4: Simplify right side
    2,052,175.50x = 20,235,375,391,437.56
  5. Step 5: Solve for x
    x = 20,235,375,391,437.56/2,052,175.50
  6. Step 6: Final answer
    x = 9,860,450.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.