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Finding the Third Proportional to 379,016 and 824,848

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Solution

The third proportional to 379,016 and 824,848 is: 1,795,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,016 : 824,848 = 824,848 : x
  2. Step 2: Convert to fraction form
    379,016/824,848 = 824,848/x
  3. Step 3: Cross multiply
    379,016x = 824,848 × 824,848
  4. Step 4: Simplify right side
    379,016x = 680,374,223,104
  5. Step 5: Solve for x
    x = 680,374,223,104/379,016
  6. Step 6: Final answer
    x = 1,795,106.86

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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.