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Finding the Third Proportional to 474,933 and 969,243

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Solution

The third proportional to 474,933 and 969,243 is: 1,978,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,933 : 969,243 = 969,243 : x
  2. Step 2: Convert to fraction form
    474,933/969,243 = 969,243/x
  3. Step 3: Cross multiply
    474,933x = 969,243 × 969,243
  4. Step 4: Simplify right side
    474,933x = 939,431,993,049
  5. Step 5: Solve for x
    x = 939,431,993,049/474,933
  6. Step 6: Final answer
    x = 1,978,030.57

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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.