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Finding the Third Proportional to 809,008 and 1,797,588

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Solution

The third proportional to 809,008 and 1,797,588 is: 3,994,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,008 : 1,797,588 = 1,797,588 : x
  2. Step 2: Convert to fraction form
    809,008/1,797,588 = 1,797,588/x
  3. Step 3: Cross multiply
    809,008x = 1,797,588 × 1,797,588
  4. Step 4: Simplify right side
    809,008x = 3,231,322,617,744
  5. Step 5: Solve for x
    x = 3,231,322,617,744/809,008
  6. Step 6: Final answer
    x = 3,994,178.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.