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Finding the Third Proportional to 1,792,611.84 and 4,199,406.61

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Solution

The third proportional to 1,792,611.84 and 4,199,406.61 is: 9,837,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792,611.84 : 4,199,406.61 = 4,199,406.61 : x
  2. Step 2: Convert to fraction form
    1,792,611.84/4,199,406.61 = 4,199,406.61/x
  3. Step 3: Cross multiply
    1,792,611.84x = 4,199,406.61 × 4,199,406.61
  4. Step 4: Simplify right side
    1,792,611.84x = 17,635,015,870,862.43
  5. Step 5: Solve for x
    x = 17,635,015,870,862.43/1,792,611.84
  6. Step 6: Final answer
    x = 9,837,609.82

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.