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Finding the Third Proportional to 583,723.97 and 1,267,093.13

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Solution

The third proportional to 583,723.97 and 1,267,093.13 is: 2,750,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,723.97 : 1,267,093.13 = 1,267,093.13 : x
  2. Step 2: Convert to fraction form
    583,723.97/1,267,093.13 = 1,267,093.13/x
  3. Step 3: Cross multiply
    583,723.97x = 1,267,093.13 × 1,267,093.13
  4. Step 4: Simplify right side
    583,723.97x = 1,605,524,987,422.27
  5. Step 5: Solve for x
    x = 1,605,524,987,422.27/583,723.97
  6. Step 6: Final answer
    x = 2,750,486.66

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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.