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Finding the Third Proportional to 839,576 and 1,811,828

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Solution

The third proportional to 839,576 and 1,811,828 is: 3,909,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,576 : 1,811,828 = 1,811,828 : x
  2. Step 2: Convert to fraction form
    839,576/1,811,828 = 1,811,828/x
  3. Step 3: Cross multiply
    839,576x = 1,811,828 × 1,811,828
  4. Step 4: Simplify right side
    839,576x = 3,282,720,701,584
  5. Step 5: Solve for x
    x = 3,282,720,701,584/839,576
  6. Step 6: Final answer
    x = 3,909,974.44

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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.