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Finding the Third Proportional to 451,848 and 965,744

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Solution

The third proportional to 451,848 and 965,744 is: 2,064,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,848 : 965,744 = 965,744 : x
  2. Step 2: Convert to fraction form
    451,848/965,744 = 965,744/x
  3. Step 3: Cross multiply
    451,848x = 965,744 × 965,744
  4. Step 4: Simplify right side
    451,848x = 932,661,473,536
  5. Step 5: Solve for x
    x = 932,661,473,536/451,848
  6. Step 6: Final answer
    x = 2,064,104.46

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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.