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Finding the Third Proportional to 591,894 and 1,283,384

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Solution

The third proportional to 591,894 and 1,283,384 is: 2,782,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,894 : 1,283,384 = 1,283,384 : x
  2. Step 2: Convert to fraction form
    591,894/1,283,384 = 1,283,384/x
  3. Step 3: Cross multiply
    591,894x = 1,283,384 × 1,283,384
  4. Step 4: Simplify right side
    591,894x = 1,647,074,491,456
  5. Step 5: Solve for x
    x = 1,647,074,491,456/591,894
  6. Step 6: Final answer
    x = 2,782,718.68

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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.