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Finding the Third Proportional to 647,278 and 970,917

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Solution

The third proportional to 647,278 and 970,917 is: 1,456,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,278 : 970,917 = 970,917 : x
  2. Step 2: Convert to fraction form
    647,278/970,917 = 970,917/x
  3. Step 3: Cross multiply
    647,278x = 970,917 × 970,917
  4. Step 4: Simplify right side
    647,278x = 942,679,820,889
  5. Step 5: Solve for x
    x = 942,679,820,889/647,278
  6. Step 6: Final answer
    x = 1,456,375.50

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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.