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Finding the Third Proportional to 1,942,116.75 and 4,042,517.63

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Solution

The third proportional to 1,942,116.75 and 4,042,517.63 is: 8,414,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,116.75 : 4,042,517.63 = 4,042,517.63 : x
  2. Step 2: Convert to fraction form
    1,942,116.75/4,042,517.63 = 4,042,517.63/x
  3. Step 3: Cross multiply
    1,942,116.75x = 4,042,517.63 × 4,042,517.63
  4. Step 4: Simplify right side
    1,942,116.75x = 16,341,948,748,435.64
  5. Step 5: Solve for x
    x = 16,341,948,748,435.64/1,942,116.75
  6. Step 6: Final answer
    x = 8,414,503.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.