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Finding the Third Proportional to 474,940 and 969,256

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Solution

The third proportional to 474,940 and 969,256 is: 1,978,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,940 : 969,256 = 969,256 : x
  2. Step 2: Convert to fraction form
    474,940/969,256 = 969,256/x
  3. Step 3: Cross multiply
    474,940x = 969,256 × 969,256
  4. Step 4: Simplify right side
    474,940x = 939,457,193,536
  5. Step 5: Solve for x
    x = 939,457,193,536/474,940
  6. Step 6: Final answer
    x = 1,978,054.48

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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.