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Finding the Third Proportional to 816,311.25 and 1,906,213.50

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Solution

The third proportional to 816,311.25 and 1,906,213.50 is: 4,451,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,311.25 : 1,906,213.50 = 1,906,213.50 : x
  2. Step 2: Convert to fraction form
    816,311.25/1,906,213.50 = 1,906,213.50/x
  3. Step 3: Cross multiply
    816,311.25x = 1,906,213.50 × 1,906,213.50
  4. Step 4: Simplify right side
    816,311.25x = 3,633,649,907,582.25
  5. Step 5: Solve for x
    x = 3,633,649,907,582.25/816,311.25
  6. Step 6: Final answer
    x = 4,451,304.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.