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Finding the Third Proportional to 644,920 and 1,366,672

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Solution

The third proportional to 644,920 and 1,366,672 is: 2,896,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,920 : 1,366,672 = 1,366,672 : x
  2. Step 2: Convert to fraction form
    644,920/1,366,672 = 1,366,672/x
  3. Step 3: Cross multiply
    644,920x = 1,366,672 × 1,366,672
  4. Step 4: Simplify right side
    644,920x = 1,867,792,355,584
  5. Step 5: Solve for x
    x = 1,867,792,355,584/644,920
  6. Step 6: Final answer
    x = 2,896,161.32

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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.