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Finding the Third Proportional to 436,814 and 934,351

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Solution

The third proportional to 436,814 and 934,351 is: 1,998,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,814 : 934,351 = 934,351 : x
  2. Step 2: Convert to fraction form
    436,814/934,351 = 934,351/x
  3. Step 3: Cross multiply
    436,814x = 934,351 × 934,351
  4. Step 4: Simplify right side
    436,814x = 873,011,791,201
  5. Step 5: Solve for x
    x = 873,011,791,201/436,814
  6. Step 6: Final answer
    x = 1,998,589.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.