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Finding the Third Proportional to 451,815 and 982,355.25

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Solution

The third proportional to 451,815 and 982,355.25 is: 2,135,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,815 : 982,355.25 = 982,355.25 : x
  2. Step 2: Convert to fraction form
    451,815/982,355.25 = 982,355.25/x
  3. Step 3: Cross multiply
    451,815x = 982,355.25 × 982,355.25
  4. Step 4: Simplify right side
    451,815x = 965,021,837,202.56
  5. Step 5: Solve for x
    x = 965,021,837,202.56/451,815
  6. Step 6: Final answer
    x = 2,135,878.26

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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.