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Finding the Third Proportional to 409,422 and 888,771

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Solution

The third proportional to 409,422 and 888,771 is: 1,929,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,422 : 888,771 = 888,771 : x
  2. Step 2: Convert to fraction form
    409,422/888,771 = 888,771/x
  3. Step 3: Cross multiply
    409,422x = 888,771 × 888,771
  4. Step 4: Simplify right side
    409,422x = 789,913,890,441
  5. Step 5: Solve for x
    x = 789,913,890,441/409,422
  6. Step 6: Final answer
    x = 1,929,339.14

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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.