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Finding the Third Proportional to 2,274,912 and 5,266,512

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Solution

The third proportional to 2,274,912 and 5,266,512 is: 12,192,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,912 : 5,266,512 = 5,266,512 : x
  2. Step 2: Convert to fraction form
    2,274,912/5,266,512 = 5,266,512/x
  3. Step 3: Cross multiply
    2,274,912x = 5,266,512 × 5,266,512
  4. Step 4: Simplify right side
    2,274,912x = 27,736,148,646,144
  5. Step 5: Solve for x
    x = 27,736,148,646,144/2,274,912
  6. Step 6: Final answer
    x = 12,192,185.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.