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Finding the Third Proportional to 441,468 and 959,760

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Solution

The third proportional to 441,468 and 959,760 is: 2,086,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,468 : 959,760 = 959,760 : x
  2. Step 2: Convert to fraction form
    441,468/959,760 = 959,760/x
  3. Step 3: Cross multiply
    441,468x = 959,760 × 959,760
  4. Step 4: Simplify right side
    441,468x = 921,139,257,600
  5. Step 5: Solve for x
    x = 921,139,257,600/441,468
  6. Step 6: Final answer
    x = 2,086,536.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.