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Finding the Third Proportional to 512,694 and 1,104,273

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Solution

The third proportional to 512,694 and 1,104,273 is: 2,378,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,694 : 1,104,273 = 1,104,273 : x
  2. Step 2: Convert to fraction form
    512,694/1,104,273 = 1,104,273/x
  3. Step 3: Cross multiply
    512,694x = 1,104,273 × 1,104,273
  4. Step 4: Simplify right side
    512,694x = 1,219,418,858,529
  5. Step 5: Solve for x
    x = 1,219,418,858,529/512,694
  6. Step 6: Final answer
    x = 2,378,453.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.