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Finding the Third Proportional to 621,738 and 944,766

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Solution

The third proportional to 621,738 and 944,766 is: 1,435,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,738 : 944,766 = 944,766 : x
  2. Step 2: Convert to fraction form
    621,738/944,766 = 944,766/x
  3. Step 3: Cross multiply
    621,738x = 944,766 × 944,766
  4. Step 4: Simplify right side
    621,738x = 892,582,794,756
  5. Step 5: Solve for x
    x = 892,582,794,756/621,738
  6. Step 6: Final answer
    x = 1,435,625.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.