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Finding the Third Proportional to 993,880 and 1,324,170

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Solution

The third proportional to 993,880 and 1,324,170 is: 1,764,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,880 : 1,324,170 = 1,324,170 : x
  2. Step 2: Convert to fraction form
    993,880/1,324,170 = 1,324,170/x
  3. Step 3: Cross multiply
    993,880x = 1,324,170 × 1,324,170
  4. Step 4: Simplify right side
    993,880x = 1,753,426,188,900
  5. Step 5: Solve for x
    x = 1,753,426,188,900/993,880
  6. Step 6: Final answer
    x = 1,764,223.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.