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Finding the Third Proportional to 825,612.75 and 1,673,408.25

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Solution

The third proportional to 825,612.75 and 1,673,408.25 is: 3,391,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,612.75 : 1,673,408.25 = 1,673,408.25 : x
  2. Step 2: Convert to fraction form
    825,612.75/1,673,408.25 = 1,673,408.25/x
  3. Step 3: Cross multiply
    825,612.75x = 1,673,408.25 × 1,673,408.25
  4. Step 4: Simplify right side
    825,612.75x = 2,800,295,171,168.06
  5. Step 5: Solve for x
    x = 2,800,295,171,168.06/825,612.75
  6. Step 6: Final answer
    x = 3,391,778.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.