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Finding the Third Proportional to 388,105 and 844,551

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Solution

The third proportional to 388,105 and 844,551 is: 1,837,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,105 : 844,551 = 844,551 : x
  2. Step 2: Convert to fraction form
    388,105/844,551 = 844,551/x
  3. Step 3: Cross multiply
    388,105x = 844,551 × 844,551
  4. Step 4: Simplify right side
    388,105x = 713,266,391,601
  5. Step 5: Solve for x
    x = 713,266,391,601/388,105
  6. Step 6: Final answer
    x = 1,837,818.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.