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Finding the Third Proportional to 902,590 and 1,982,336

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Solution

The third proportional to 902,590 and 1,982,336 is: 4,353,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,590 : 1,982,336 = 1,982,336 : x
  2. Step 2: Convert to fraction form
    902,590/1,982,336 = 1,982,336/x
  3. Step 3: Cross multiply
    902,590x = 1,982,336 × 1,982,336
  4. Step 4: Simplify right side
    902,590x = 3,929,656,016,896
  5. Step 5: Solve for x
    x = 3,929,656,016,896/902,590
  6. Step 6: Final answer
    x = 4,353,755.32

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