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Finding the Third Proportional to 644,919 and 967,269

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Solution

The third proportional to 644,919 and 967,269 is: 1,450,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,919 : 967,269 = 967,269 : x
  2. Step 2: Convert to fraction form
    644,919/967,269 = 967,269/x
  3. Step 3: Cross multiply
    644,919x = 967,269 × 967,269
  4. Step 4: Simplify right side
    644,919x = 935,609,318,361
  5. Step 5: Solve for x
    x = 935,609,318,361/644,919
  6. Step 6: Final answer
    x = 1,450,739.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.