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Finding the Third Proportional to 436,079 and 935,198

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Solution

The third proportional to 436,079 and 935,198 is: 2,005,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,079 : 935,198 = 935,198 : x
  2. Step 2: Convert to fraction form
    436,079/935,198 = 935,198/x
  3. Step 3: Cross multiply
    436,079x = 935,198 × 935,198
  4. Step 4: Simplify right side
    436,079x = 874,595,299,204
  5. Step 5: Solve for x
    x = 874,595,299,204/436,079
  6. Step 6: Final answer
    x = 2,005,589.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.