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Finding the Third Proportional to 969,974 and 2,085,844

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Solution

The third proportional to 969,974 and 2,085,844 is: 4,485,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,974 : 2,085,844 = 2,085,844 : x
  2. Step 2: Convert to fraction form
    969,974/2,085,844 = 2,085,844/x
  3. Step 3: Cross multiply
    969,974x = 2,085,844 × 2,085,844
  4. Step 4: Simplify right side
    969,974x = 4,350,745,192,336
  5. Step 5: Solve for x
    x = 4,350,745,192,336/969,974
  6. Step 6: Final answer
    x = 4,485,424.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.