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Finding the Third Proportional to 789,780.38 and 1,540,194.75

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Solution

The third proportional to 789,780.38 and 1,540,194.75 is: 3,003,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,780.38 : 1,540,194.75 = 1,540,194.75 : x
  2. Step 2: Convert to fraction form
    789,780.38/1,540,194.75 = 1,540,194.75/x
  3. Step 3: Cross multiply
    789,780.38x = 1,540,194.75 × 1,540,194.75
  4. Step 4: Simplify right side
    789,780.38x = 2,372,199,867,927.56
  5. Step 5: Solve for x
    x = 2,372,199,867,927.56/789,780.38
  6. Step 6: Final answer
    x = 3,003,619.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.