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Finding the Third Proportional to 1,161,251 and 2,509,336

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Solution

The third proportional to 1,161,251 and 2,509,336 is: 5,422,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,251 : 2,509,336 = 2,509,336 : x
  2. Step 2: Convert to fraction form
    1,161,251/2,509,336 = 2,509,336/x
  3. Step 3: Cross multiply
    1,161,251x = 2,509,336 × 2,509,336
  4. Step 4: Simplify right side
    1,161,251x = 6,296,767,160,896
  5. Step 5: Solve for x
    x = 6,296,767,160,896/1,161,251
  6. Step 6: Final answer
    x = 5,422,399.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.