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Finding the Third Proportional to 802,270 and 1,761,980

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Solution

The third proportional to 802,270 and 1,761,980 is: 3,869,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,270 : 1,761,980 = 1,761,980 : x
  2. Step 2: Convert to fraction form
    802,270/1,761,980 = 1,761,980/x
  3. Step 3: Cross multiply
    802,270x = 1,761,980 × 1,761,980
  4. Step 4: Simplify right side
    802,270x = 3,104,573,520,400
  5. Step 5: Solve for x
    x = 3,104,573,520,400/802,270
  6. Step 6: Final answer
    x = 3,869,736.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.