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Finding the Third Proportional to 632,682 and 1,366,533

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Solution

The third proportional to 632,682 and 1,366,533 is: 2,951,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,682 : 1,366,533 = 1,366,533 : x
  2. Step 2: Convert to fraction form
    632,682/1,366,533 = 1,366,533/x
  3. Step 3: Cross multiply
    632,682x = 1,366,533 × 1,366,533
  4. Step 4: Simplify right side
    632,682x = 1,867,412,440,089
  5. Step 5: Solve for x
    x = 1,867,412,440,089/632,682
  6. Step 6: Final answer
    x = 2,951,581.43

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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.