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Finding the Third Proportional to 1,970,517 and 2,969,874

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Solution

The third proportional to 1,970,517 and 2,969,874 is: 4,476,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,517 : 2,969,874 = 2,969,874 : x
  2. Step 2: Convert to fraction form
    1,970,517/2,969,874 = 2,969,874/x
  3. Step 3: Cross multiply
    1,970,517x = 2,969,874 × 2,969,874
  4. Step 4: Simplify right side
    1,970,517x = 8,820,151,575,876
  5. Step 5: Solve for x
    x = 8,820,151,575,876/1,970,517
  6. Step 6: Final answer
    x = 4,476,059.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.