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Finding the Third Proportional to 467,800 and 984,500

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Solution

The third proportional to 467,800 and 984,500 is: 2,071,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,800 : 984,500 = 984,500 : x
  2. Step 2: Convert to fraction form
    467,800/984,500 = 984,500/x
  3. Step 3: Cross multiply
    467,800x = 984,500 × 984,500
  4. Step 4: Simplify right side
    467,800x = 969,240,250,000
  5. Step 5: Solve for x
    x = 969,240,250,000/467,800
  6. Step 6: Final answer
    x = 2,071,911.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.