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Finding the Third Proportional to 451,104 and 979,944

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Solution

The third proportional to 451,104 and 979,944 is: 2,128,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,104 : 979,944 = 979,944 : x
  2. Step 2: Convert to fraction form
    451,104/979,944 = 979,944/x
  3. Step 3: Cross multiply
    451,104x = 979,944 × 979,944
  4. Step 4: Simplify right side
    451,104x = 960,290,243,136
  5. Step 5: Solve for x
    x = 960,290,243,136/451,104
  6. Step 6: Final answer
    x = 2,128,755.77

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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.