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Finding the Third Proportional to 591,769 and 1,277,962

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Solution

The third proportional to 591,769 and 1,277,962 is: 2,759,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,769 : 1,277,962 = 1,277,962 : x
  2. Step 2: Convert to fraction form
    591,769/1,277,962 = 1,277,962/x
  3. Step 3: Cross multiply
    591,769x = 1,277,962 × 1,277,962
  4. Step 4: Simplify right side
    591,769x = 1,633,186,873,444
  5. Step 5: Solve for x
    x = 1,633,186,873,444/591,769
  6. Step 6: Final answer
    x = 2,759,838.51

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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.