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Finding the Third Proportional to 816,966 and 1,259,901

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Solution

The third proportional to 816,966 and 1,259,901 is: 1,942,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,966 : 1,259,901 = 1,259,901 : x
  2. Step 2: Convert to fraction form
    816,966/1,259,901 = 1,259,901/x
  3. Step 3: Cross multiply
    816,966x = 1,259,901 × 1,259,901
  4. Step 4: Simplify right side
    816,966x = 1,587,350,529,801
  5. Step 5: Solve for x
    x = 1,587,350,529,801/816,966
  6. Step 6: Final answer
    x = 1,942,982.36

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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.