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Finding the Third Proportional to 925,016 and 1,951,253

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Solution

The third proportional to 925,016 and 1,951,253 is: 4,116,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,016 : 1,951,253 = 1,951,253 : x
  2. Step 2: Convert to fraction form
    925,016/1,951,253 = 1,951,253/x
  3. Step 3: Cross multiply
    925,016x = 1,951,253 × 1,951,253
  4. Step 4: Simplify right side
    925,016x = 3,807,388,270,009
  5. Step 5: Solve for x
    x = 3,807,388,270,009/925,016
  6. Step 6: Final answer
    x = 4,116,024.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.