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Finding the Third Proportional to 809,530 and 1,207,734

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Solution

The third proportional to 809,530 and 1,207,734 is: 1,801,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,530 : 1,207,734 = 1,207,734 : x
  2. Step 2: Convert to fraction form
    809,530/1,207,734 = 1,207,734/x
  3. Step 3: Cross multiply
    809,530x = 1,207,734 × 1,207,734
  4. Step 4: Simplify right side
    809,530x = 1,458,621,414,756
  5. Step 5: Solve for x
    x = 1,458,621,414,756/809,530
  6. Step 6: Final answer
    x = 1,801,812.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.