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Finding the Third Proportional to 395,538 and 819,096

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Solution

The third proportional to 395,538 and 819,096 is: 1,696,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,538 : 819,096 = 819,096 : x
  2. Step 2: Convert to fraction form
    395,538/819,096 = 819,096/x
  3. Step 3: Cross multiply
    395,538x = 819,096 × 819,096
  4. Step 4: Simplify right side
    395,538x = 670,918,257,216
  5. Step 5: Solve for x
    x = 670,918,257,216/395,538
  6. Step 6: Final answer
    x = 1,696,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.