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Finding the Third Proportional to 414,018 and 845,451

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Solution

The third proportional to 414,018 and 845,451 is: 1,726,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,018 : 845,451 = 845,451 : x
  2. Step 2: Convert to fraction form
    414,018/845,451 = 845,451/x
  3. Step 3: Cross multiply
    414,018x = 845,451 × 845,451
  4. Step 4: Simplify right side
    414,018x = 714,787,393,401
  5. Step 5: Solve for x
    x = 714,787,393,401/414,018
  6. Step 6: Final answer
    x = 1,726,464.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.