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Finding the Third Proportional to 619,198 and 946,536

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Solution

The third proportional to 619,198 and 946,536 is: 1,446,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,198 : 946,536 = 946,536 : x
  2. Step 2: Convert to fraction form
    619,198/946,536 = 946,536/x
  3. Step 3: Cross multiply
    619,198x = 946,536 × 946,536
  4. Step 4: Simplify right side
    619,198x = 895,930,399,296
  5. Step 5: Solve for x
    x = 895,930,399,296/619,198
  6. Step 6: Final answer
    x = 1,446,920.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.