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Finding the Third Proportional to 376,038 and 820,674

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Solution

The third proportional to 376,038 and 820,674 is: 1,791,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,038 : 820,674 = 820,674 : x
  2. Step 2: Convert to fraction form
    376,038/820,674 = 820,674/x
  3. Step 3: Cross multiply
    376,038x = 820,674 × 820,674
  4. Step 4: Simplify right side
    376,038x = 673,505,814,276
  5. Step 5: Solve for x
    x = 673,505,814,276/376,038
  6. Step 6: Final answer
    x = 1,791,057.86

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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.