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Finding the Third Proportional to 1,867,105.69 and 2,839,398.05

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Solution

The third proportional to 1,867,105.69 and 2,839,398.05 is: 4,318,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867,105.69 : 2,839,398.05 = 2,839,398.05 : x
  2. Step 2: Convert to fraction form
    1,867,105.69/2,839,398.05 = 2,839,398.05/x
  3. Step 3: Cross multiply
    1,867,105.69x = 2,839,398.05 × 2,839,398.05
  4. Step 4: Simplify right side
    1,867,105.69x = 8,062,181,268,597.57
  5. Step 5: Solve for x
    x = 8,062,181,268,597.57/1,867,105.69
  6. Step 6: Final answer
    x = 4,318,010.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.