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Finding the Third Proportional to 1,820,662.31 and 3,984,205.22

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Solution

The third proportional to 1,820,662.31 and 3,984,205.22 is: 8,718,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,662.31 : 3,984,205.22 = 3,984,205.22 : x
  2. Step 2: Convert to fraction form
    1,820,662.31/3,984,205.22 = 3,984,205.22/x
  3. Step 3: Cross multiply
    1,820,662.31x = 3,984,205.22 × 3,984,205.22
  4. Step 4: Simplify right side
    1,820,662.31x = 15,873,891,225,114.73
  5. Step 5: Solve for x
    x = 15,873,891,225,114.73/1,820,662.31
  6. Step 6: Final answer
    x = 8,718,745.43

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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.