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Finding the Third Proportional to 674,917 and 949,354

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Solution

The third proportional to 674,917 and 949,354 is: 1,335,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,917 : 949,354 = 949,354 : x
  2. Step 2: Convert to fraction form
    674,917/949,354 = 949,354/x
  3. Step 3: Cross multiply
    674,917x = 949,354 × 949,354
  4. Step 4: Simplify right side
    674,917x = 901,273,017,316
  5. Step 5: Solve for x
    x = 901,273,017,316/674,917
  6. Step 6: Final answer
    x = 1,335,383.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.