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Finding the Third Proportional to 644,927 and 1,366,734

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Solution

The third proportional to 644,927 and 1,366,734 is: 2,896,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,927 : 1,366,734 = 1,366,734 : x
  2. Step 2: Convert to fraction form
    644,927/1,366,734 = 1,366,734/x
  3. Step 3: Cross multiply
    644,927x = 1,366,734 × 1,366,734
  4. Step 4: Simplify right side
    644,927x = 1,867,961,826,756
  5. Step 5: Solve for x
    x = 1,867,961,826,756/644,927
  6. Step 6: Final answer
    x = 2,896,392.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.