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Finding the Third Proportional to 474,942 and 969,260

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Solution

The third proportional to 474,942 and 969,260 is: 1,978,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,942 : 969,260 = 969,260 : x
  2. Step 2: Convert to fraction form
    474,942/969,260 = 969,260/x
  3. Step 3: Cross multiply
    474,942x = 969,260 × 969,260
  4. Step 4: Simplify right side
    474,942x = 939,464,947,600
  5. Step 5: Solve for x
    x = 939,464,947,600/474,942
  6. Step 6: Final answer
    x = 1,978,062.47

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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.