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Finding the Third Proportional to 451,824 and 982,401

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Solution

The third proportional to 451,824 and 982,401 is: 2,136,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,824 : 982,401 = 982,401 : x
  2. Step 2: Convert to fraction form
    451,824/982,401 = 982,401/x
  3. Step 3: Cross multiply
    451,824x = 982,401 × 982,401
  4. Step 4: Simplify right side
    451,824x = 965,111,724,801
  5. Step 5: Solve for x
    x = 965,111,724,801/451,824
  6. Step 6: Final answer
    x = 2,136,034.66

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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.