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Finding the Third Proportional to 821,421 and 1,797,441.75

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Solution

The third proportional to 821,421 and 1,797,441.75 is: 3,933,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,421 : 1,797,441.75 = 1,797,441.75 : x
  2. Step 2: Convert to fraction form
    821,421/1,797,441.75 = 1,797,441.75/x
  3. Step 3: Cross multiply
    821,421x = 1,797,441.75 × 1,797,441.75
  4. Step 4: Simplify right side
    821,421x = 3,230,796,844,643.06
  5. Step 5: Solve for x
    x = 3,230,796,844,643.06/821,421
  6. Step 6: Final answer
    x = 3,933,180.24

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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.