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Finding the Third Proportional to 590,682 and 1,288,268.50

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Solution

The third proportional to 590,682 and 1,288,268.50 is: 2,809,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,682 : 1,288,268.50 = 1,288,268.50 : x
  2. Step 2: Convert to fraction form
    590,682/1,288,268.50 = 1,288,268.50/x
  3. Step 3: Cross multiply
    590,682x = 1,288,268.50 × 1,288,268.50
  4. Step 4: Simplify right side
    590,682x = 1,659,635,728,092.25
  5. Step 5: Solve for x
    x = 1,659,635,728,092.25/590,682
  6. Step 6: Final answer
    x = 2,809,694.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.