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Finding the Third Proportional to 809,195 and 1,770,777

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Solution

The third proportional to 809,195 and 1,770,777 is: 3,875,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,195 : 1,770,777 = 1,770,777 : x
  2. Step 2: Convert to fraction form
    809,195/1,770,777 = 1,770,777/x
  3. Step 3: Cross multiply
    809,195x = 1,770,777 × 1,770,777
  4. Step 4: Simplify right side
    809,195x = 3,135,651,183,729
  5. Step 5: Solve for x
    x = 3,135,651,183,729/809,195
  6. Step 6: Final answer
    x = 3,875,025.41

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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.