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Finding the Third Proportional to 441,447 and 959,718

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Solution

The third proportional to 441,447 and 959,718 is: 2,086,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,447 : 959,718 = 959,718 : x
  2. Step 2: Convert to fraction form
    441,447/959,718 = 959,718/x
  3. Step 3: Cross multiply
    441,447x = 959,718 × 959,718
  4. Step 4: Simplify right side
    441,447x = 921,058,639,524
  5. Step 5: Solve for x
    x = 921,058,639,524/441,447
  6. Step 6: Final answer
    x = 2,086,453.50

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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.