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Finding the Third Proportional to 649,830.38 and 1,449,077.06

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Solution

The third proportional to 649,830.38 and 1,449,077.06 is: 3,231,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,830.38 : 1,449,077.06 = 1,449,077.06 : x
  2. Step 2: Convert to fraction form
    649,830.38/1,449,077.06 = 1,449,077.06/x
  3. Step 3: Cross multiply
    649,830.38x = 1,449,077.06 × 1,449,077.06
  4. Step 4: Simplify right side
    649,830.38x = 2,099,824,333,063.63
  5. Step 5: Solve for x
    x = 2,099,824,333,063.63/649,830.38
  6. Step 6: Final answer
    x = 3,231,342.23

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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.