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Finding the Third Proportional to 993,948 and 1,324,269

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Solution

The third proportional to 993,948 and 1,324,269 is: 1,764,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,948 : 1,324,269 = 1,324,269 : x
  2. Step 2: Convert to fraction form
    993,948/1,324,269 = 1,324,269/x
  3. Step 3: Cross multiply
    993,948x = 1,324,269 × 1,324,269
  4. Step 4: Simplify right side
    993,948x = 1,753,688,384,361
  5. Step 5: Solve for x
    x = 1,753,688,384,361/993,948
  6. Step 6: Final answer
    x = 1,764,366.33

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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.