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Finding the Third Proportional to 462,198 and 993,384

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Solution

The third proportional to 462,198 and 993,384 is: 2,135,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,198 : 993,384 = 993,384 : x
  2. Step 2: Convert to fraction form
    462,198/993,384 = 993,384/x
  3. Step 3: Cross multiply
    462,198x = 993,384 × 993,384
  4. Step 4: Simplify right side
    462,198x = 986,811,771,456
  5. Step 5: Solve for x
    x = 986,811,771,456/462,198
  6. Step 6: Final answer
    x = 2,135,041.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.