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Finding the Third Proportional to 373,844 and 820,060

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Solution

The third proportional to 373,844 and 820,060 is: 1,798,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,844 : 820,060 = 820,060 : x
  2. Step 2: Convert to fraction form
    373,844/820,060 = 820,060/x
  3. Step 3: Cross multiply
    373,844x = 820,060 × 820,060
  4. Step 4: Simplify right side
    373,844x = 672,498,403,600
  5. Step 5: Solve for x
    x = 672,498,403,600/373,844
  6. Step 6: Final answer
    x = 1,798,874.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.