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Finding the Third Proportional to 969,976 and 2,107,856

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Solution

The third proportional to 969,976 and 2,107,856 is: 4,580,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,976 : 2,107,856 = 2,107,856 : x
  2. Step 2: Convert to fraction form
    969,976/2,107,856 = 2,107,856/x
  3. Step 3: Cross multiply
    969,976x = 2,107,856 × 2,107,856
  4. Step 4: Simplify right side
    969,976x = 4,443,056,916,736
  5. Step 5: Solve for x
    x = 4,443,056,916,736/969,976
  6. Step 6: Final answer
    x = 4,580,584.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.