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Finding the Third Proportional to 373,838 and 820,051

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Solution

The third proportional to 373,838 and 820,051 is: 1,798,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,838 : 820,051 = 820,051 : x
  2. Step 2: Convert to fraction form
    373,838/820,051 = 820,051/x
  3. Step 3: Cross multiply
    373,838x = 820,051 × 820,051
  4. Step 4: Simplify right side
    373,838x = 672,483,642,601
  5. Step 5: Solve for x
    x = 672,483,642,601/373,838
  6. Step 6: Final answer
    x = 1,798,863.79

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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.