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Finding the Third Proportional to 379,010 and 824,836

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Solution

The third proportional to 379,010 and 824,836 is: 1,795,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,010 : 824,836 = 824,836 : x
  2. Step 2: Convert to fraction form
    379,010/824,836 = 824,836/x
  3. Step 3: Cross multiply
    379,010x = 824,836 × 824,836
  4. Step 4: Simplify right side
    379,010x = 680,354,426,896
  5. Step 5: Solve for x
    x = 680,354,426,896/379,010
  6. Step 6: Final answer
    x = 1,795,083.05

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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.