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Finding the Third Proportional to 451,616 and 965,504

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Solution

The third proportional to 451,616 and 965,504 is: 2,064,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,616 : 965,504 = 965,504 : x
  2. Step 2: Convert to fraction form
    451,616/965,504 = 965,504/x
  3. Step 3: Cross multiply
    451,616x = 965,504 × 965,504
  4. Step 4: Simplify right side
    451,616x = 932,197,974,016
  5. Step 5: Solve for x
    x = 932,197,974,016/451,616
  6. Step 6: Final answer
    x = 2,064,138.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.