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Finding the Third Proportional to 825,689 and 1,276,107

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Solution

The third proportional to 825,689 and 1,276,107 is: 1,972,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,689 : 1,276,107 = 1,276,107 : x
  2. Step 2: Convert to fraction form
    825,689/1,276,107 = 1,276,107/x
  3. Step 3: Cross multiply
    825,689x = 1,276,107 × 1,276,107
  4. Step 4: Simplify right side
    825,689x = 1,628,449,075,449
  5. Step 5: Solve for x
    x = 1,628,449,075,449/825,689
  6. Step 6: Final answer
    x = 1,972,230.56

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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.