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Finding the Third Proportional to 825,749 and 1,276,197

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Solution

The third proportional to 825,749 and 1,276,197 is: 1,972,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,749 : 1,276,197 = 1,276,197 : x
  2. Step 2: Convert to fraction form
    825,749/1,276,197 = 1,276,197/x
  3. Step 3: Cross multiply
    825,749x = 1,276,197 × 1,276,197
  4. Step 4: Simplify right side
    825,749x = 1,628,678,782,809
  5. Step 5: Solve for x
    x = 1,628,678,782,809/825,749
  6. Step 6: Final answer
    x = 1,972,365.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.