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Finding the Third Proportional to 757,992.94 and 1,643,464.69

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Solution

The third proportional to 757,992.94 and 1,643,464.69 is: 3,563,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,992.94 : 1,643,464.69 = 1,643,464.69 : x
  2. Step 2: Convert to fraction form
    757,992.94/1,643,464.69 = 1,643,464.69/x
  3. Step 3: Cross multiply
    757,992.94x = 1,643,464.69 × 1,643,464.69
  4. Step 4: Simplify right side
    757,992.94x = 2,700,976,179,059.47
  5. Step 5: Solve for x
    x = 2,700,976,179,059.47/757,992.94
  6. Step 6: Final answer
    x = 3,563,326.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.