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Finding the Third Proportional to 404,422 and 880,190

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Solution

The third proportional to 404,422 and 880,190 is: 1,915,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,422 : 880,190 = 880,190 : x
  2. Step 2: Convert to fraction form
    404,422/880,190 = 880,190/x
  3. Step 3: Cross multiply
    404,422x = 880,190 × 880,190
  4. Step 4: Simplify right side
    404,422x = 774,734,436,100
  5. Step 5: Solve for x
    x = 774,734,436,100/404,422
  6. Step 6: Final answer
    x = 1,915,658.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.