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Finding the Third Proportional to 984,255.05 and 2,047,077.56

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Solution

The third proportional to 984,255.05 and 2,047,077.56 is: 4,257,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,255.05 : 2,047,077.56 = 2,047,077.56 : x
  2. Step 2: Convert to fraction form
    984,255.05/2,047,077.56 = 2,047,077.56/x
  3. Step 3: Cross multiply
    984,255.05x = 2,047,077.56 × 2,047,077.56
  4. Step 4: Simplify right side
    984,255.05x = 4,190,526,546,890.94
  5. Step 5: Solve for x
    x = 4,190,526,546,890.94/984,255.05
  6. Step 6: Final answer
    x = 4,257,561.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.