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Finding the Third Proportional to 379,014 and 824,844

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Solution

The third proportional to 379,014 and 824,844 is: 1,795,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,014 : 824,844 = 824,844 : x
  2. Step 2: Convert to fraction form
    379,014/824,844 = 824,844/x
  3. Step 3: Cross multiply
    379,014x = 824,844 × 824,844
  4. Step 4: Simplify right side
    379,014x = 680,367,624,336
  5. Step 5: Solve for x
    x = 680,367,624,336/379,014
  6. Step 6: Final answer
    x = 1,795,098.93

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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.