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Finding the Third Proportional to 462,198 and 969,108

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Solution

The third proportional to 462,198 and 969,108 is: 2,031,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,198 : 969,108 = 969,108 : x
  2. Step 2: Convert to fraction form
    462,198/969,108 = 969,108/x
  3. Step 3: Cross multiply
    462,198x = 969,108 × 969,108
  4. Step 4: Simplify right side
    462,198x = 939,170,315,664
  5. Step 5: Solve for x
    x = 939,170,315,664/462,198
  6. Step 6: Final answer
    x = 2,031,965.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.