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Finding the Third Proportional to 515,144 and 1,086,224

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Solution

The third proportional to 515,144 and 1,086,224 is: 2,290,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,144 : 1,086,224 = 1,086,224 : x
  2. Step 2: Convert to fraction form
    515,144/1,086,224 = 1,086,224/x
  3. Step 3: Cross multiply
    515,144x = 1,086,224 × 1,086,224
  4. Step 4: Simplify right side
    515,144x = 1,179,882,578,176
  5. Step 5: Solve for x
    x = 1,179,882,578,176/515,144
  6. Step 6: Final answer
    x = 2,290,393.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.