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Finding the Third Proportional to 839,922 and 1,297,015

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Solution

The third proportional to 839,922 and 1,297,015 is: 2,002,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,922 : 1,297,015 = 1,297,015 : x
  2. Step 2: Convert to fraction form
    839,922/1,297,015 = 1,297,015/x
  3. Step 3: Cross multiply
    839,922x = 1,297,015 × 1,297,015
  4. Step 4: Simplify right side
    839,922x = 1,682,247,910,225
  5. Step 5: Solve for x
    x = 1,682,247,910,225/839,922
  6. Step 6: Final answer
    x = 2,002,862.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.