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Finding the Third Proportional to 425,992 and 911,836.25

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Solution

The third proportional to 425,992 and 911,836.25 is: 1,951,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,992 : 911,836.25 = 911,836.25 : x
  2. Step 2: Convert to fraction form
    425,992/911,836.25 = 911,836.25/x
  3. Step 3: Cross multiply
    425,992x = 911,836.25 × 911,836.25
  4. Step 4: Simplify right side
    425,992x = 831,445,346,814.06
  5. Step 5: Solve for x
    x = 831,445,346,814.06/425,992
  6. Step 6: Final answer
    x = 1,951,786.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.