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Finding the Third Proportional to 591,884 and 1,283,366

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Solution

The third proportional to 591,884 and 1,283,366 is: 2,782,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,884 : 1,283,366 = 1,283,366 : x
  2. Step 2: Convert to fraction form
    591,884/1,283,366 = 1,283,366/x
  3. Step 3: Cross multiply
    591,884x = 1,283,366 × 1,283,366
  4. Step 4: Simplify right side
    591,884x = 1,647,028,289,956
  5. Step 5: Solve for x
    x = 1,647,028,289,956/591,884
  6. Step 6: Final answer
    x = 2,782,687.64

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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.