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Finding the Third Proportional to 395,019 and 931,916

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Solution

The third proportional to 395,019 and 931,916 is: 2,198,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,019 : 931,916 = 931,916 : x
  2. Step 2: Convert to fraction form
    395,019/931,916 = 931,916/x
  3. Step 3: Cross multiply
    395,019x = 931,916 × 931,916
  4. Step 4: Simplify right side
    395,019x = 868,467,431,056
  5. Step 5: Solve for x
    x = 868,467,431,056/395,019
  6. Step 6: Final answer
    x = 2,198,545.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.