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Finding the Third Proportional to 404,978 and 937,529

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Solution

The third proportional to 404,978 and 937,529 is: 2,170,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,978 : 937,529 = 937,529 : x
  2. Step 2: Convert to fraction form
    404,978/937,529 = 937,529/x
  3. Step 3: Cross multiply
    404,978x = 937,529 × 937,529
  4. Step 4: Simplify right side
    404,978x = 878,960,625,841
  5. Step 5: Solve for x
    x = 878,960,625,841/404,978
  6. Step 6: Final answer
    x = 2,170,391.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.