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Finding the Third Proportional to 409,221 and 888,417

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Solution

The third proportional to 409,221 and 888,417 is: 1,928,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,221 : 888,417 = 888,417 : x
  2. Step 2: Convert to fraction form
    409,221/888,417 = 888,417/x
  3. Step 3: Cross multiply
    409,221x = 888,417 × 888,417
  4. Step 4: Simplify right side
    409,221x = 789,284,765,889
  5. Step 5: Solve for x
    x = 789,284,765,889/409,221
  6. Step 6: Final answer
    x = 1,928,749.42

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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.