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Finding the Third Proportional to 373,836 and 820,048

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Solution

The third proportional to 373,836 and 820,048 is: 1,798,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,836 : 820,048 = 820,048 : x
  2. Step 2: Convert to fraction form
    373,836/820,048 = 820,048/x
  3. Step 3: Cross multiply
    373,836x = 820,048 × 820,048
  4. Step 4: Simplify right side
    373,836x = 672,478,722,304
  5. Step 5: Solve for x
    x = 672,478,722,304/373,836
  6. Step 6: Final answer
    x = 1,798,860.26

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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.