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Finding the Third Proportional to 649,250.44 and 1,408,534.31

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Solution

The third proportional to 649,250.44 and 1,408,534.31 is: 3,055,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,250.44 : 1,408,534.31 = 1,408,534.31 : x
  2. Step 2: Convert to fraction form
    649,250.44/1,408,534.31 = 1,408,534.31/x
  3. Step 3: Cross multiply
    649,250.44x = 1,408,534.31 × 1,408,534.31
  4. Step 4: Simplify right side
    649,250.44x = 1,983,968,909,489.85
  5. Step 5: Solve for x
    x = 1,983,968,909,489.85/649,250.44
  6. Step 6: Final answer
    x = 3,055,783.71

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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.