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Finding the Third Proportional to 809,832 and 1,777,120

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Solution

The third proportional to 809,832 and 1,777,120 is: 3,899,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,832 : 1,777,120 = 1,777,120 : x
  2. Step 2: Convert to fraction form
    809,832/1,777,120 = 1,777,120/x
  3. Step 3: Cross multiply
    809,832x = 1,777,120 × 1,777,120
  4. Step 4: Simplify right side
    809,832x = 3,158,155,494,400
  5. Step 5: Solve for x
    x = 3,158,155,494,400/809,832
  6. Step 6: Final answer
    x = 3,899,766.24

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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.