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Finding the Third Proportional to 620,867 and 951,805

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Solution

The third proportional to 620,867 and 951,805 is: 1,459,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,867 : 951,805 = 951,805 : x
  2. Step 2: Convert to fraction form
    620,867/951,805 = 951,805/x
  3. Step 3: Cross multiply
    620,867x = 951,805 × 951,805
  4. Step 4: Simplify right side
    620,867x = 905,932,758,025
  5. Step 5: Solve for x
    x = 905,932,758,025/620,867
  6. Step 6: Final answer
    x = 1,459,141.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.