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Finding the Third Proportional to 379,029 and 824,874

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Solution

The third proportional to 379,029 and 824,874 is: 1,795,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,029 : 824,874 = 824,874 : x
  2. Step 2: Convert to fraction form
    379,029/824,874 = 824,874/x
  3. Step 3: Cross multiply
    379,029x = 824,874 × 824,874
  4. Step 4: Simplify right side
    379,029x = 680,417,115,876
  5. Step 5: Solve for x
    x = 680,417,115,876/379,029
  6. Step 6: Final answer
    x = 1,795,158.46

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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.