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Finding the Third Proportional to 414,781,977 and 888,726,861

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Solution

The third proportional to 414,781,977 and 888,726,861 is: 1,904,218,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,977 : 888,726,861 = 888,726,861 : x
  2. Step 2: Convert to fraction form
    414,781,977/888,726,861 = 888,726,861/x
  3. Step 3: Cross multiply
    414,781,977x = 888,726,861 × 888,726,861
  4. Step 4: Simplify right side
    414,781,977x = 789,835,433,462,913,280
  5. Step 5: Solve for x
    x = 789,835,433,462,913,280/414,781,977
  6. Step 6: Final answer
    x = 1,904,218,305.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.