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Finding the Third Proportional to 802,265 and 1,761,968

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Solution

The third proportional to 802,265 and 1,761,968 is: 3,869,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,265 : 1,761,968 = 1,761,968 : x
  2. Step 2: Convert to fraction form
    802,265/1,761,968 = 1,761,968/x
  3. Step 3: Cross multiply
    802,265x = 1,761,968 × 1,761,968
  4. Step 4: Simplify right side
    802,265x = 3,104,531,233,024
  5. Step 5: Solve for x
    x = 3,104,531,233,024/802,265
  6. Step 6: Final answer
    x = 3,869,707.93

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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.