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Finding the Third Proportional to 411,212 and 951,896

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Solution

The third proportional to 411,212 and 951,896 is: 2,203,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,212 : 951,896 = 951,896 : x
  2. Step 2: Convert to fraction form
    411,212/951,896 = 951,896/x
  3. Step 3: Cross multiply
    411,212x = 951,896 × 951,896
  4. Step 4: Simplify right side
    411,212x = 906,105,994,816
  5. Step 5: Solve for x
    x = 906,105,994,816/411,212
  6. Step 6: Final answer
    x = 2,203,500.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.