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Finding the Third Proportional to 547,618 and 1,198,469

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Solution

The third proportional to 547,618 and 1,198,469 is: 2,622,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,618 : 1,198,469 = 1,198,469 : x
  2. Step 2: Convert to fraction form
    547,618/1,198,469 = 1,198,469/x
  3. Step 3: Cross multiply
    547,618x = 1,198,469 × 1,198,469
  4. Step 4: Simplify right side
    547,618x = 1,436,327,943,961
  5. Step 5: Solve for x
    x = 1,436,327,943,961/547,618
  6. Step 6: Final answer
    x = 2,622,864.74

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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.