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Finding the Third Proportional to 591,974 and 1,283,738

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Solution

The third proportional to 591,974 and 1,283,738 is: 2,783,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,974 : 1,283,738 = 1,283,738 : x
  2. Step 2: Convert to fraction form
    591,974/1,283,738 = 1,283,738/x
  3. Step 3: Cross multiply
    591,974x = 1,283,738 × 1,283,738
  4. Step 4: Simplify right side
    591,974x = 1,647,983,252,644
  5. Step 5: Solve for x
    x = 1,647,983,252,644/591,974
  6. Step 6: Final answer
    x = 2,783,877.76

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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.