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Finding the Third Proportional to 800,199 and 1,888,861.50

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Solution

The third proportional to 800,199 and 1,888,861.50 is: 4,458,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,199 : 1,888,861.50 = 1,888,861.50 : x
  2. Step 2: Convert to fraction form
    800,199/1,888,861.50 = 1,888,861.50/x
  3. Step 3: Cross multiply
    800,199x = 1,888,861.50 × 1,888,861.50
  4. Step 4: Simplify right side
    800,199x = 3,567,797,766,182.25
  5. Step 5: Solve for x
    x = 3,567,797,766,182.25/800,199
  6. Step 6: Final answer
    x = 4,458,638.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.