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Finding the Third Proportional to 825,753 and 1,813,891

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Solution

The third proportional to 825,753 and 1,813,891 is: 3,984,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,753 : 1,813,891 = 1,813,891 : x
  2. Step 2: Convert to fraction form
    825,753/1,813,891 = 1,813,891/x
  3. Step 3: Cross multiply
    825,753x = 1,813,891 × 1,813,891
  4. Step 4: Simplify right side
    825,753x = 3,290,200,559,881
  5. Step 5: Solve for x
    x = 3,290,200,559,881/825,753
  6. Step 6: Final answer
    x = 3,984,485.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.