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Finding the Third Proportional to 688,457 and 1,491,286

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Solution

The third proportional to 688,457 and 1,491,286 is: 3,230,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,457 : 1,491,286 = 1,491,286 : x
  2. Step 2: Convert to fraction form
    688,457/1,491,286 = 1,491,286/x
  3. Step 3: Cross multiply
    688,457x = 1,491,286 × 1,491,286
  4. Step 4: Simplify right side
    688,457x = 2,223,933,933,796
  5. Step 5: Solve for x
    x = 2,223,933,933,796/688,457
  6. Step 6: Final answer
    x = 3,230,316.39

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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.