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Finding the Third Proportional to 688,567 and 1,491,477

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Solution

The third proportional to 688,567 and 1,491,477 is: 3,230,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,567 : 1,491,477 = 1,491,477 : x
  2. Step 2: Convert to fraction form
    688,567/1,491,477 = 1,491,477/x
  3. Step 3: Cross multiply
    688,567x = 1,491,477 × 1,491,477
  4. Step 4: Simplify right side
    688,567x = 2,224,503,641,529
  5. Step 5: Solve for x
    x = 2,224,503,641,529/688,567
  6. Step 6: Final answer
    x = 3,230,627.73

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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.