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Finding the Third Proportional to 853,344 and 1,321,632

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Solution

The third proportional to 853,344 and 1,321,632 is: 2,046,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,344 : 1,321,632 = 1,321,632 : x
  2. Step 2: Convert to fraction form
    853,344/1,321,632 = 1,321,632/x
  3. Step 3: Cross multiply
    853,344x = 1,321,632 × 1,321,632
  4. Step 4: Simplify right side
    853,344x = 1,746,711,143,424
  5. Step 5: Solve for x
    x = 1,746,711,143,424/853,344
  6. Step 6: Final answer
    x = 2,046,901.53

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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.