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Finding the Third Proportional to 410,266 and 886,144

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Solution

The third proportional to 410,266 and 886,144 is: 1,914,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,266 : 886,144 = 886,144 : x
  2. Step 2: Convert to fraction form
    410,266/886,144 = 886,144/x
  3. Step 3: Cross multiply
    410,266x = 886,144 × 886,144
  4. Step 4: Simplify right side
    410,266x = 785,251,188,736
  5. Step 5: Solve for x
    x = 785,251,188,736/410,266
  6. Step 6: Final answer
    x = 1,914,005.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.