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Finding the Third Proportional to 414,781,409 and 888,725,719

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Solution

The third proportional to 414,781,409 and 888,725,719 is: 1,904,216,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,409 : 888,725,719 = 888,725,719 : x
  2. Step 2: Convert to fraction form
    414,781,409/888,725,719 = 888,725,719/x
  3. Step 3: Cross multiply
    414,781,409x = 888,725,719 × 888,725,719
  4. Step 4: Simplify right side
    414,781,409x = 789,833,403,612,066,944
  5. Step 5: Solve for x
    x = 789,833,403,612,066,944/414,781,409
  6. Step 6: Final answer
    x = 1,904,216,019.51

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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.