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Finding the Third Proportional to 474,935 and 969,249

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Solution

The third proportional to 474,935 and 969,249 is: 1,978,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,935 : 969,249 = 969,249 : x
  2. Step 2: Convert to fraction form
    474,935/969,249 = 969,249/x
  3. Step 3: Cross multiply
    474,935x = 969,249 × 969,249
  4. Step 4: Simplify right side
    474,935x = 939,443,624,001
  5. Step 5: Solve for x
    x = 939,443,624,001/474,935
  6. Step 6: Final answer
    x = 1,978,046.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.