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Finding the Third Proportional to 633,940 and 984,766

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Solution

The third proportional to 633,940 and 984,766 is: 1,529,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,940 : 984,766 = 984,766 : x
  2. Step 2: Convert to fraction form
    633,940/984,766 = 984,766/x
  3. Step 3: Cross multiply
    633,940x = 984,766 × 984,766
  4. Step 4: Simplify right side
    633,940x = 969,764,074,756
  5. Step 5: Solve for x
    x = 969,764,074,756/633,940
  6. Step 6: Final answer
    x = 1,529,741.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.