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Finding the Third Proportional to 1,378,800 and 2,059,857

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Solution

The third proportional to 1,378,800 and 2,059,857 is: 3,077,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,800 : 2,059,857 = 2,059,857 : x
  2. Step 2: Convert to fraction form
    1,378,800/2,059,857 = 2,059,857/x
  3. Step 3: Cross multiply
    1,378,800x = 2,059,857 × 2,059,857
  4. Step 4: Simplify right side
    1,378,800x = 4,243,010,860,449
  5. Step 5: Solve for x
    x = 4,243,010,860,449/1,378,800
  6. Step 6: Final answer
    x = 3,077,321.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.