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Finding the Third Proportional to 451,818 and 982,388.25

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Solution

The third proportional to 451,818 and 982,388.25 is: 2,136,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,818 : 982,388.25 = 982,388.25 : x
  2. Step 2: Convert to fraction form
    451,818/982,388.25 = 982,388.25/x
  3. Step 3: Cross multiply
    451,818x = 982,388.25 × 982,388.25
  4. Step 4: Simplify right side
    451,818x = 965,086,673,738.06
  5. Step 5: Solve for x
    x = 965,086,673,738.06/451,818
  6. Step 6: Final answer
    x = 2,136,007.58

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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.