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Finding the Third Proportional to 431,198 and 937,898

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Solution

The third proportional to 431,198 and 937,898 is: 2,040,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,198 : 937,898 = 937,898 : x
  2. Step 2: Convert to fraction form
    431,198/937,898 = 937,898/x
  3. Step 3: Cross multiply
    431,198x = 937,898 × 937,898
  4. Step 4: Simplify right side
    431,198x = 879,652,658,404
  5. Step 5: Solve for x
    x = 879,652,658,404/431,198
  6. Step 6: Final answer
    x = 2,040,020.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.