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Finding the Third Proportional to 821,674.13 and 1,794,565.13

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Solution

The third proportional to 821,674.13 and 1,794,565.13 is: 3,919,393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,674.13 : 1,794,565.13 = 1,794,565.13 : x
  2. Step 2: Convert to fraction form
    821,674.13/1,794,565.13 = 1,794,565.13/x
  3. Step 3: Cross multiply
    821,674.13x = 1,794,565.13 × 1,794,565.13
  4. Step 4: Simplify right side
    821,674.13x = 3,220,463,987,866.27
  5. Step 5: Solve for x
    x = 3,220,463,987,866.27/821,674.13
  6. Step 6: Final answer
    x = 3,919,393.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.