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Finding the Third Proportional to 451,350.56 and 983,664.42

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Solution

The third proportional to 451,350.56 and 983,664.42 is: 2,143,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,350.56 : 983,664.42 = 983,664.42 : x
  2. Step 2: Convert to fraction form
    451,350.56/983,664.42 = 983,664.42/x
  3. Step 3: Cross multiply
    451,350.56x = 983,664.42 × 983,664.42
  4. Step 4: Simplify right side
    451,350.56x = 967,595,694,862.68
  5. Step 5: Solve for x
    x = 967,595,694,862.68/451,350.56
  6. Step 6: Final answer
    x = 2,143,778.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.