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Finding the Third Proportional to 654,285 and 1,408,794

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Solution

The third proportional to 654,285 and 1,408,794 is: 3,033,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,285 : 1,408,794 = 1,408,794 : x
  2. Step 2: Convert to fraction form
    654,285/1,408,794 = 1,408,794/x
  3. Step 3: Cross multiply
    654,285x = 1,408,794 × 1,408,794
  4. Step 4: Simplify right side
    654,285x = 1,984,700,534,436
  5. Step 5: Solve for x
    x = 1,984,700,534,436/654,285
  6. Step 6: Final answer
    x = 3,033,388.41

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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.