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Finding the Third Proportional to 805,920 and 1,737,741

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Solution

The third proportional to 805,920 and 1,737,741 is: 3,746,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,920 : 1,737,741 = 1,737,741 : x
  2. Step 2: Convert to fraction form
    805,920/1,737,741 = 1,737,741/x
  3. Step 3: Cross multiply
    805,920x = 1,737,741 × 1,737,741
  4. Step 4: Simplify right side
    805,920x = 3,019,743,783,081
  5. Step 5: Solve for x
    x = 3,019,743,783,081/805,920
  6. Step 6: Final answer
    x = 3,746,952.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.