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Finding the Third Proportional to 688,589 and 1,491,519

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Solution

The third proportional to 688,589 and 1,491,519 is: 3,230,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,589 : 1,491,519 = 1,491,519 : x
  2. Step 2: Convert to fraction form
    688,589/1,491,519 = 1,491,519/x
  3. Step 3: Cross multiply
    688,589x = 1,491,519 × 1,491,519
  4. Step 4: Simplify right side
    688,589x = 2,224,628,927,361
  5. Step 5: Solve for x
    x = 2,224,628,927,361/688,589
  6. Step 6: Final answer
    x = 3,230,706.46

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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.