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Finding the Third Proportional to 794,468.25 and 1,215,546.75

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Solution

The third proportional to 794,468.25 and 1,215,546.75 is: 1,859,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,468.25 : 1,215,546.75 = 1,215,546.75 : x
  2. Step 2: Convert to fraction form
    794,468.25/1,215,546.75 = 1,215,546.75/x
  3. Step 3: Cross multiply
    794,468.25x = 1,215,546.75 × 1,215,546.75
  4. Step 4: Simplify right side
    794,468.25x = 1,477,553,901,435.56
  5. Step 5: Solve for x
    x = 1,477,553,901,435.56/794,468.25
  6. Step 6: Final answer
    x = 1,859,802.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.