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Finding the Third Proportional to 961,512.75 and 2,101,632.75

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Solution

The third proportional to 961,512.75 and 2,101,632.75 is: 4,593,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,512.75 : 2,101,632.75 = 2,101,632.75 : x
  2. Step 2: Convert to fraction form
    961,512.75/2,101,632.75 = 2,101,632.75/x
  3. Step 3: Cross multiply
    961,512.75x = 2,101,632.75 × 2,101,632.75
  4. Step 4: Simplify right side
    961,512.75x = 4,416,860,215,872.56
  5. Step 5: Solve for x
    x = 4,416,860,215,872.56/961,512.75
  6. Step 6: Final answer
    x = 4,593,657.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.