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Finding the Third Proportional to 591,971 and 1,283,734

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Solution

The third proportional to 591,971 and 1,283,734 is: 2,783,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,971 : 1,283,734 = 1,283,734 : x
  2. Step 2: Convert to fraction form
    591,971/1,283,734 = 1,283,734/x
  3. Step 3: Cross multiply
    591,971x = 1,283,734 × 1,283,734
  4. Step 4: Simplify right side
    591,971x = 1,647,972,982,756
  5. Step 5: Solve for x
    x = 1,647,972,982,756/591,971
  6. Step 6: Final answer
    x = 2,783,874.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.