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Finding the Third Proportional to 1,375,936 and 2,918,384

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Solution

The third proportional to 1,375,936 and 2,918,384 is: 6,189,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,936 : 2,918,384 = 2,918,384 : x
  2. Step 2: Convert to fraction form
    1,375,936/2,918,384 = 2,918,384/x
  3. Step 3: Cross multiply
    1,375,936x = 2,918,384 × 2,918,384
  4. Step 4: Simplify right side
    1,375,936x = 8,516,965,171,456
  5. Step 5: Solve for x
    x = 8,516,965,171,456/1,375,936
  6. Step 6: Final answer
    x = 6,189,942.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.