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Finding the Third Proportional to 393,833 and 863,914

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Solution

The third proportional to 393,833 and 863,914 is: 1,895,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,833 : 863,914 = 863,914 : x
  2. Step 2: Convert to fraction form
    393,833/863,914 = 863,914/x
  3. Step 3: Cross multiply
    393,833x = 863,914 × 863,914
  4. Step 4: Simplify right side
    393,833x = 746,347,399,396
  5. Step 5: Solve for x
    x = 746,347,399,396/393,833
  6. Step 6: Final answer
    x = 1,895,085.99

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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.