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Finding the Third Proportional to 862,364.25 and 1,814,100.75

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Solution

The third proportional to 862,364.25 and 1,814,100.75 is: 3,816,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,364.25 : 1,814,100.75 = 1,814,100.75 : x
  2. Step 2: Convert to fraction form
    862,364.25/1,814,100.75 = 1,814,100.75/x
  3. Step 3: Cross multiply
    862,364.25x = 1,814,100.75 × 1,814,100.75
  4. Step 4: Simplify right side
    862,364.25x = 3,290,961,531,150.56
  5. Step 5: Solve for x
    x = 3,290,961,531,150.56/862,364.25
  6. Step 6: Final answer
    x = 3,816,208.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.