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Finding the Third Proportional to 1,188,195.75 and 2,802,143.25

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Solution

The third proportional to 1,188,195.75 and 2,802,143.25 is: 6,608,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,195.75 : 2,802,143.25 = 2,802,143.25 : x
  2. Step 2: Convert to fraction form
    1,188,195.75/2,802,143.25 = 2,802,143.25/x
  3. Step 3: Cross multiply
    1,188,195.75x = 2,802,143.25 × 2,802,143.25
  4. Step 4: Simplify right side
    1,188,195.75x = 7,852,006,793,520.56
  5. Step 5: Solve for x
    x = 7,852,006,793,520.56/1,188,195.75
  6. Step 6: Final answer
    x = 6,608,344.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.