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Finding the Third Proportional to 547,633 and 1,198,499

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Solution

The third proportional to 547,633 and 1,198,499 is: 2,622,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,633 : 1,198,499 = 1,198,499 : x
  2. Step 2: Convert to fraction form
    547,633/1,198,499 = 1,198,499/x
  3. Step 3: Cross multiply
    547,633x = 1,198,499 × 1,198,499
  4. Step 4: Simplify right side
    547,633x = 1,436,399,853,001
  5. Step 5: Solve for x
    x = 1,436,399,853,001/547,633
  6. Step 6: Final answer
    x = 2,622,924.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.