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Finding the Third Proportional to 641,949 and 993,471

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Solution

The third proportional to 641,949 and 993,471 is: 1,537,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,949 : 993,471 = 993,471 : x
  2. Step 2: Convert to fraction form
    641,949/993,471 = 993,471/x
  3. Step 3: Cross multiply
    641,949x = 993,471 × 993,471
  4. Step 4: Simplify right side
    641,949x = 986,984,627,841
  5. Step 5: Solve for x
    x = 986,984,627,841/641,949
  6. Step 6: Final answer
    x = 1,537,481.37

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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.