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Finding the Third Proportional to 850,794.75 and 1,276,193.25

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Solution

The third proportional to 850,794.75 and 1,276,193.25 is: 1,914,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,794.75 : 1,276,193.25 = 1,276,193.25 : x
  2. Step 2: Convert to fraction form
    850,794.75/1,276,193.25 = 1,276,193.25/x
  3. Step 3: Cross multiply
    850,794.75x = 1,276,193.25 × 1,276,193.25
  4. Step 4: Simplify right side
    850,794.75x = 1,628,669,211,345.56
  5. Step 5: Solve for x
    x = 1,628,669,211,345.56/850,794.75
  6. Step 6: Final answer
    x = 1,914,291.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.