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Finding the Third Proportional to 647,249 and 970,874

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Solution

The third proportional to 647,249 and 970,874 is: 1,456,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,249 : 970,874 = 970,874 : x
  2. Step 2: Convert to fraction form
    647,249/970,874 = 970,874/x
  3. Step 3: Cross multiply
    647,249x = 970,874 × 970,874
  4. Step 4: Simplify right side
    647,249x = 942,596,323,876
  5. Step 5: Solve for x
    x = 942,596,323,876/647,249
  6. Step 6: Final answer
    x = 1,456,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.