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Finding the Third Proportional to 383,620 and 835,880

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Solution

The third proportional to 383,620 and 835,880 is: 1,821,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,620 : 835,880 = 835,880 : x
  2. Step 2: Convert to fraction form
    383,620/835,880 = 835,880/x
  3. Step 3: Cross multiply
    383,620x = 835,880 × 835,880
  4. Step 4: Simplify right side
    383,620x = 698,695,374,400
  5. Step 5: Solve for x
    x = 698,695,374,400/383,620
  6. Step 6: Final answer
    x = 1,821,321.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.