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Finding the Third Proportional to 815,865.75 and 1,728,978.75

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Solution

The third proportional to 815,865.75 and 1,728,978.75 is: 3,664,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,865.75 : 1,728,978.75 = 1,728,978.75 : x
  2. Step 2: Convert to fraction form
    815,865.75/1,728,978.75 = 1,728,978.75/x
  3. Step 3: Cross multiply
    815,865.75x = 1,728,978.75 × 1,728,978.75
  4. Step 4: Simplify right side
    815,865.75x = 2,989,367,517,951.56
  5. Step 5: Solve for x
    x = 2,989,367,517,951.56/815,865.75
  6. Step 6: Final answer
    x = 3,664,043.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.