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Finding the Third Proportional to 379,026 and 824,868

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Solution

The third proportional to 379,026 and 824,868 is: 1,795,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,026 : 824,868 = 824,868 : x
  2. Step 2: Convert to fraction form
    379,026/824,868 = 824,868/x
  3. Step 3: Cross multiply
    379,026x = 824,868 × 824,868
  4. Step 4: Simplify right side
    379,026x = 680,407,217,424
  5. Step 5: Solve for x
    x = 680,407,217,424/379,026
  6. Step 6: Final answer
    x = 1,795,146.55

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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.