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Finding the Third Proportional to 902,920 and 1,961,360

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Solution

The third proportional to 902,920 and 1,961,360 is: 4,260,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,920 : 1,961,360 = 1,961,360 : x
  2. Step 2: Convert to fraction form
    902,920/1,961,360 = 1,961,360/x
  3. Step 3: Cross multiply
    902,920x = 1,961,360 × 1,961,360
  4. Step 4: Simplify right side
    902,920x = 3,846,933,049,600
  5. Step 5: Solve for x
    x = 3,846,933,049,600/902,920
  6. Step 6: Final answer
    x = 4,260,546.95

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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.