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Finding the Third Proportional to 902,596 and 1,982,346

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Solution

The third proportional to 902,596 and 1,982,346 is: 4,353,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,596 : 1,982,346 = 1,982,346 : x
  2. Step 2: Convert to fraction form
    902,596/1,982,346 = 1,982,346/x
  3. Step 3: Cross multiply
    902,596x = 1,982,346 × 1,982,346
  4. Step 4: Simplify right side
    902,596x = 3,929,695,663,716
  5. Step 5: Solve for x
    x = 3,929,695,663,716/902,596
  6. Step 6: Final answer
    x = 4,353,770.31

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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.