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Finding the Third Proportional to 474,831 and 967,245

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Solution

The third proportional to 474,831 and 967,245 is: 1,970,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,831 : 967,245 = 967,245 : x
  2. Step 2: Convert to fraction form
    474,831/967,245 = 967,245/x
  3. Step 3: Cross multiply
    474,831x = 967,245 × 967,245
  4. Step 4: Simplify right side
    474,831x = 935,562,890,025
  5. Step 5: Solve for x
    x = 935,562,890,025/474,831
  6. Step 6: Final answer
    x = 1,970,307.10

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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.