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Finding the Third Proportional to 951,171 and 1,980,912

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Solution

The third proportional to 951,171 and 1,980,912 is: 4,125,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,171 : 1,980,912 = 1,980,912 : x
  2. Step 2: Convert to fraction form
    951,171/1,980,912 = 1,980,912/x
  3. Step 3: Cross multiply
    951,171x = 1,980,912 × 1,980,912
  4. Step 4: Simplify right side
    951,171x = 3,924,012,351,744
  5. Step 5: Solve for x
    x = 3,924,012,351,744/951,171
  6. Step 6: Final answer
    x = 4,125,454.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.