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Finding the Third Proportional to 797,794 and 1,197,250

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Solution

The third proportional to 797,794 and 1,197,250 is: 1,796,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,794 : 1,197,250 = 1,197,250 : x
  2. Step 2: Convert to fraction form
    797,794/1,197,250 = 1,197,250/x
  3. Step 3: Cross multiply
    797,794x = 1,197,250 × 1,197,250
  4. Step 4: Simplify right side
    797,794x = 1,433,407,562,500
  5. Step 5: Solve for x
    x = 1,433,407,562,500/797,794
  6. Step 6: Final answer
    x = 1,796,713.89

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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.