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Finding the Third Proportional to 839,568 and 1,811,814

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Solution

The third proportional to 839,568 and 1,811,814 is: 3,909,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,568 : 1,811,814 = 1,811,814 : x
  2. Step 2: Convert to fraction form
    839,568/1,811,814 = 1,811,814/x
  3. Step 3: Cross multiply
    839,568x = 1,811,814 × 1,811,814
  4. Step 4: Simplify right side
    839,568x = 3,282,669,970,596
  5. Step 5: Solve for x
    x = 3,282,669,970,596/839,568
  6. Step 6: Final answer
    x = 3,909,951.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.