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Finding the Third Proportional to 414,781,965 and 888,726,838.50

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Solution

The third proportional to 414,781,965 and 888,726,838.50 is: 1,904,218,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,965 : 888,726,838.50 = 888,726,838.50 : x
  2. Step 2: Convert to fraction form
    414,781,965/888,726,838.50 = 888,726,838.50/x
  3. Step 3: Cross multiply
    414,781,965x = 888,726,838.50 × 888,726,838.50
  4. Step 4: Simplify right side
    414,781,965x = 789,835,393,470,205,056
  5. Step 5: Solve for x
    x = 789,835,393,470,205,056/414,781,965
  6. Step 6: Final answer
    x = 1,904,218,264.34

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Why These Related Problems?

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