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Finding the Third Proportional to 902,584 and 1,982,284

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Solution

The third proportional to 902,584 and 1,982,284 is: 4,353,555.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,584 : 1,982,284 = 1,982,284 : x
  2. Step 2: Convert to fraction form
    902,584/1,982,284 = 1,982,284/x
  3. Step 3: Cross multiply
    902,584x = 1,982,284 × 1,982,284
  4. Step 4: Simplify right side
    902,584x = 3,929,449,856,656
  5. Step 5: Solve for x
    x = 3,929,449,856,656/902,584
  6. Step 6: Final answer
    x = 4,353,555.85

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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.