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Finding the Third Proportional to 969,844 and 1,999,412

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Solution

The third proportional to 969,844 and 1,999,412 is: 4,121,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,844 : 1,999,412 = 1,999,412 : x
  2. Step 2: Convert to fraction form
    969,844/1,999,412 = 1,999,412/x
  3. Step 3: Cross multiply
    969,844x = 1,999,412 × 1,999,412
  4. Step 4: Simplify right side
    969,844x = 3,997,648,345,744
  5. Step 5: Solve for x
    x = 3,997,648,345,744/969,844
  6. Step 6: Final answer
    x = 4,121,949.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.