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Finding the Third Proportional to 474,939 and 969,255

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Solution

The third proportional to 474,939 and 969,255 is: 1,978,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,939 : 969,255 = 969,255 : x
  2. Step 2: Convert to fraction form
    474,939/969,255 = 969,255/x
  3. Step 3: Cross multiply
    474,939x = 969,255 × 969,255
  4. Step 4: Simplify right side
    474,939x = 939,455,255,025
  5. Step 5: Solve for x
    x = 939,455,255,025/474,939
  6. Step 6: Final answer
    x = 1,978,054.56

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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.