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Finding the Third Proportional to 797,067 and 1,720,053

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Solution

The third proportional to 797,067 and 1,720,053 is: 3,711,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,067 : 1,720,053 = 1,720,053 : x
  2. Step 2: Convert to fraction form
    797,067/1,720,053 = 1,720,053/x
  3. Step 3: Cross multiply
    797,067x = 1,720,053 × 1,720,053
  4. Step 4: Simplify right side
    797,067x = 2,958,582,322,809
  5. Step 5: Solve for x
    x = 2,958,582,322,809/797,067
  6. Step 6: Final answer
    x = 3,711,836.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.