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Finding the Third Proportional to 414,781,408 and 888,725,718

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Solution

The third proportional to 414,781,408 and 888,725,718 is: 1,904,216,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,408 : 888,725,718 = 888,725,718 : x
  2. Step 2: Convert to fraction form
    414,781,408/888,725,718 = 888,725,718/x
  3. Step 3: Cross multiply
    414,781,408x = 888,725,718 × 888,725,718
  4. Step 4: Simplify right side
    414,781,408x = 789,833,401,834,615,552
  5. Step 5: Solve for x
    x = 789,833,401,834,615,552/414,781,408
  6. Step 6: Final answer
    x = 1,904,216,019.81

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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.