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Finding the Third Proportional to 757,161 and 1,619,379

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Solution

The third proportional to 757,161 and 1,619,379 is: 3,463,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,161 : 1,619,379 = 1,619,379 : x
  2. Step 2: Convert to fraction form
    757,161/1,619,379 = 1,619,379/x
  3. Step 3: Cross multiply
    757,161x = 1,619,379 × 1,619,379
  4. Step 4: Simplify right side
    757,161x = 2,622,388,345,641
  5. Step 5: Solve for x
    x = 2,622,388,345,641/757,161
  6. Step 6: Final answer
    x = 3,463,448.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.