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Finding the Third Proportional to 1,769,060.25 and 2,650,816.13

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Solution

The third proportional to 1,769,060.25 and 2,650,816.13 is: 3,972,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,060.25 : 2,650,816.13 = 2,650,816.13 : x
  2. Step 2: Convert to fraction form
    1,769,060.25/2,650,816.13 = 2,650,816.13/x
  3. Step 3: Cross multiply
    1,769,060.25x = 2,650,816.13 × 2,650,816.13
  4. Step 4: Simplify right side
    1,769,060.25x = 7,026,826,128,560.02
  5. Step 5: Solve for x
    x = 7,026,826,128,560.02/1,769,060.25
  6. Step 6: Final answer
    x = 3,972,067.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.