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Finding the Third Proportional to 951,964 and 2,002,100

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Solution

The third proportional to 951,964 and 2,002,100 is: 4,210,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,964 : 2,002,100 = 2,002,100 : x
  2. Step 2: Convert to fraction form
    951,964/2,002,100 = 2,002,100/x
  3. Step 3: Cross multiply
    951,964x = 2,002,100 × 2,002,100
  4. Step 4: Simplify right side
    951,964x = 4,008,404,410,000
  5. Step 5: Solve for x
    x = 4,008,404,410,000/951,964
  6. Step 6: Final answer
    x = 4,210,668.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.