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Finding the Third Proportional to 1,253,436 and 2,747,162

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Solution

The third proportional to 1,253,436 and 2,747,162 is: 6,020,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,436 : 2,747,162 = 2,747,162 : x
  2. Step 2: Convert to fraction form
    1,253,436/2,747,162 = 2,747,162/x
  3. Step 3: Cross multiply
    1,253,436x = 2,747,162 × 2,747,162
  4. Step 4: Simplify right side
    1,253,436x = 7,546,899,054,244
  5. Step 5: Solve for x
    x = 7,546,899,054,244/1,253,436
  6. Step 6: Final answer
    x = 6,020,968.80

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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.