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Finding the Third Proportional to 951,960 and 1,982,832

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Solution

The third proportional to 951,960 and 1,982,832 is: 4,130,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,960 : 1,982,832 = 1,982,832 : x
  2. Step 2: Convert to fraction form
    951,960/1,982,832 = 1,982,832/x
  3. Step 3: Cross multiply
    951,960x = 1,982,832 × 1,982,832
  4. Step 4: Simplify right side
    951,960x = 3,931,622,740,224
  5. Step 5: Solve for x
    x = 3,931,622,740,224/951,960
  6. Step 6: Final answer
    x = 4,130,029.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.