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Finding the Third Proportional to 393,894 and 949,635

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Solution

The third proportional to 393,894 and 949,635 is: 2,289,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,894 : 949,635 = 949,635 : x
  2. Step 2: Convert to fraction form
    393,894/949,635 = 949,635/x
  3. Step 3: Cross multiply
    393,894x = 949,635 × 949,635
  4. Step 4: Simplify right side
    393,894x = 901,806,633,225
  5. Step 5: Solve for x
    x = 901,806,633,225/393,894
  6. Step 6: Final answer
    x = 2,289,465.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.