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Finding the Third Proportional to 451,546 and 987,049

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Solution

The third proportional to 451,546 and 987,049 is: 2,157,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,546 : 987,049 = 987,049 : x
  2. Step 2: Convert to fraction form
    451,546/987,049 = 987,049/x
  3. Step 3: Cross multiply
    451,546x = 987,049 × 987,049
  4. Step 4: Simplify right side
    451,546x = 974,265,728,401
  5. Step 5: Solve for x
    x = 974,265,728,401/451,546
  6. Step 6: Final answer
    x = 2,157,622.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.