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Finding the Third Proportional to 633,936 and 984,760

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Solution

The third proportional to 633,936 and 984,760 is: 1,529,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,936 : 984,760 = 984,760 : x
  2. Step 2: Convert to fraction form
    633,936/984,760 = 984,760/x
  3. Step 3: Cross multiply
    633,936x = 984,760 × 984,760
  4. Step 4: Simplify right side
    633,936x = 969,752,257,600
  5. Step 5: Solve for x
    x = 969,752,257,600/633,936
  6. Step 6: Final answer
    x = 1,529,732.11

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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.