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Finding the Third Proportional to 547,629 and 1,198,491

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Solution

The third proportional to 547,629 and 1,198,491 is: 2,622,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,629 : 1,198,491 = 1,198,491 : x
  2. Step 2: Convert to fraction form
    547,629/1,198,491 = 1,198,491/x
  3. Step 3: Cross multiply
    547,629x = 1,198,491 × 1,198,491
  4. Step 4: Simplify right side
    547,629x = 1,436,380,677,081
  5. Step 5: Solve for x
    x = 1,436,380,677,081/547,629
  6. Step 6: Final answer
    x = 2,622,908.35

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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.