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Finding the Third Proportional to 822,243.75 and 1,980,879

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Solution

The third proportional to 822,243.75 and 1,980,879 is: 4,772,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,243.75 : 1,980,879 = 1,980,879 : x
  2. Step 2: Convert to fraction form
    822,243.75/1,980,879 = 1,980,879/x
  3. Step 3: Cross multiply
    822,243.75x = 1,980,879 × 1,980,879
  4. Step 4: Simplify right side
    822,243.75x = 3,923,881,612,641
  5. Step 5: Solve for x
    x = 3,923,881,612,641/822,243.75
  6. Step 6: Final answer
    x = 4,772,163.50

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.