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Finding the Third Proportional to 475,534 and 967,675

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Solution

The third proportional to 475,534 and 967,675 is: 1,969,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,534 : 967,675 = 967,675 : x
  2. Step 2: Convert to fraction form
    475,534/967,675 = 967,675/x
  3. Step 3: Cross multiply
    475,534x = 967,675 × 967,675
  4. Step 4: Simplify right side
    475,534x = 936,394,905,625
  5. Step 5: Solve for x
    x = 936,394,905,625/475,534
  6. Step 6: Final answer
    x = 1,969,143.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.