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Finding the Third Proportional to 474,956 and 969,282

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Solution

The third proportional to 474,956 and 969,282 is: 1,978,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,956 : 969,282 = 969,282 : x
  2. Step 2: Convert to fraction form
    474,956/969,282 = 969,282/x
  3. Step 3: Cross multiply
    474,956x = 969,282 × 969,282
  4. Step 4: Simplify right side
    474,956x = 939,507,595,524
  5. Step 5: Solve for x
    x = 939,507,595,524/474,956
  6. Step 6: Final answer
    x = 1,978,093.96

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