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Finding the Third Proportional to 951,972 and 2,002,116

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Solution

The third proportional to 951,972 and 2,002,116 is: 4,210,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,972 : 2,002,116 = 2,002,116 : x
  2. Step 2: Convert to fraction form
    951,972/2,002,116 = 2,002,116/x
  3. Step 3: Cross multiply
    951,972x = 2,002,116 × 2,002,116
  4. Step 4: Simplify right side
    951,972x = 4,008,468,477,456
  5. Step 5: Solve for x
    x = 4,008,468,477,456/951,972
  6. Step 6: Final answer
    x = 4,210,699.98

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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.