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Finding the Third Proportional to 2,022,642 and 4,345,449.75

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Solution

The third proportional to 2,022,642 and 4,345,449.75 is: 9,335,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,642 : 4,345,449.75 = 4,345,449.75 : x
  2. Step 2: Convert to fraction form
    2,022,642/4,345,449.75 = 4,345,449.75/x
  3. Step 3: Cross multiply
    2,022,642x = 4,345,449.75 × 4,345,449.75
  4. Step 4: Simplify right side
    2,022,642x = 18,882,933,529,775.06
  5. Step 5: Solve for x
    x = 18,882,933,529,775.06/2,022,642
  6. Step 6: Final answer
    x = 9,335,776.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.