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Finding the Third Proportional to 393,834 and 863,916

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Solution

The third proportional to 393,834 and 863,916 is: 1,895,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,834 : 863,916 = 863,916 : x
  2. Step 2: Convert to fraction form
    393,834/863,916 = 863,916/x
  3. Step 3: Cross multiply
    393,834x = 863,916 × 863,916
  4. Step 4: Simplify right side
    393,834x = 746,350,855,056
  5. Step 5: Solve for x
    x = 746,350,855,056/393,834
  6. Step 6: Final answer
    x = 1,895,089.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.