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Finding the Third Proportional to 649,971.84 and 1,449,308.95

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Solution

The third proportional to 649,971.84 and 1,449,308.95 is: 3,231,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,971.84 : 1,449,308.95 = 1,449,308.95 : x
  2. Step 2: Convert to fraction form
    649,971.84/1,449,308.95 = 1,449,308.95/x
  3. Step 3: Cross multiply
    649,971.84x = 1,449,308.95 × 1,449,308.95
  4. Step 4: Simplify right side
    649,971.84x = 2,100,496,441,608.28
  5. Step 5: Solve for x
    x = 2,100,496,441,608.28/649,971.84
  6. Step 6: Final answer
    x = 3,231,672.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.