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Finding the Third Proportional to 853,540 and 1,321,530

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Solution

The third proportional to 853,540 and 1,321,530 is: 2,046,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,540 : 1,321,530 = 1,321,530 : x
  2. Step 2: Convert to fraction form
    853,540/1,321,530 = 1,321,530/x
  3. Step 3: Cross multiply
    853,540x = 1,321,530 × 1,321,530
  4. Step 4: Simplify right side
    853,540x = 1,746,441,540,900
  5. Step 5: Solve for x
    x = 1,746,441,540,900/853,540
  6. Step 6: Final answer
    x = 2,046,115.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.