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Finding the Third Proportional to 1,340,831 and 2,932,326

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Solution

The third proportional to 1,340,831 and 2,932,326 is: 6,412,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,831 : 2,932,326 = 2,932,326 : x
  2. Step 2: Convert to fraction form
    1,340,831/2,932,326 = 2,932,326/x
  3. Step 3: Cross multiply
    1,340,831x = 2,932,326 × 2,932,326
  4. Step 4: Simplify right side
    1,340,831x = 8,598,535,770,276
  5. Step 5: Solve for x
    x = 8,598,535,770,276/1,340,831
  6. Step 6: Final answer
    x = 6,412,840.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.