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Finding the Third Proportional to 644,760 and 969,588

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Solution

The third proportional to 644,760 and 969,588 is: 1,458,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,760 : 969,588 = 969,588 : x
  2. Step 2: Convert to fraction form
    644,760/969,588 = 969,588/x
  3. Step 3: Cross multiply
    644,760x = 969,588 × 969,588
  4. Step 4: Simplify right side
    644,760x = 940,100,889,744
  5. Step 5: Solve for x
    x = 940,100,889,744/644,760
  6. Step 6: Final answer
    x = 1,458,063.29

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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.