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Finding the Third Proportional to 1,512,951.75 and 3,278,059.50

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Solution

The third proportional to 1,512,951.75 and 3,278,059.50 is: 7,102,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,951.75 : 3,278,059.50 = 3,278,059.50 : x
  2. Step 2: Convert to fraction form
    1,512,951.75/3,278,059.50 = 3,278,059.50/x
  3. Step 3: Cross multiply
    1,512,951.75x = 3,278,059.50 × 3,278,059.50
  4. Step 4: Simplify right side
    1,512,951.75x = 10,745,674,085,540.25
  5. Step 5: Solve for x
    x = 10,745,674,085,540.25/1,512,951.75
  6. Step 6: Final answer
    x = 7,102,456.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.