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Finding the Third Proportional to 440,676 and 951,318

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Solution

The third proportional to 440,676 and 951,318 is: 2,053,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,676 : 951,318 = 951,318 : x
  2. Step 2: Convert to fraction form
    440,676/951,318 = 951,318/x
  3. Step 3: Cross multiply
    440,676x = 951,318 × 951,318
  4. Step 4: Simplify right side
    440,676x = 905,005,937,124
  5. Step 5: Solve for x
    x = 905,005,937,124/440,676
  6. Step 6: Final answer
    x = 2,053,676.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.