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Finding the Third Proportional to 613,844 and 1,446,987

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Solution

The third proportional to 613,844 and 1,446,987 is: 3,410,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,844 : 1,446,987 = 1,446,987 : x
  2. Step 2: Convert to fraction form
    613,844/1,446,987 = 1,446,987/x
  3. Step 3: Cross multiply
    613,844x = 1,446,987 × 1,446,987
  4. Step 4: Simplify right side
    613,844x = 2,093,771,378,169
  5. Step 5: Solve for x
    x = 2,093,771,378,169/613,844
  6. Step 6: Final answer
    x = 3,410,917.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.