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Finding the Third Proportional to 451,797.75 and 982,324.13

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Solution

The third proportional to 451,797.75 and 982,324.13 is: 2,135,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,797.75 : 982,324.13 = 982,324.13 : x
  2. Step 2: Convert to fraction form
    451,797.75/982,324.13 = 982,324.13/x
  3. Step 3: Cross multiply
    451,797.75x = 982,324.13 × 982,324.13
  4. Step 4: Simplify right side
    451,797.75x = 964,960,686,557.02
  5. Step 5: Solve for x
    x = 964,960,686,557.02/451,797.75
  6. Step 6: Final answer
    x = 2,135,824.46

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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.