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Finding the Third Proportional to 440,678 and 951,322

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Solution

The third proportional to 440,678 and 951,322 is: 2,053,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,678 : 951,322 = 951,322 : x
  2. Step 2: Convert to fraction form
    440,678/951,322 = 951,322/x
  3. Step 3: Cross multiply
    440,678x = 951,322 × 951,322
  4. Step 4: Simplify right side
    440,678x = 905,013,547,684
  5. Step 5: Solve for x
    x = 905,013,547,684/440,678
  6. Step 6: Final answer
    x = 2,053,684.43

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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.