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Finding the Third Proportional to 414,648 and 873,573

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Solution

The third proportional to 414,648 and 873,573 is: 1,840,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,648 : 873,573 = 873,573 : x
  2. Step 2: Convert to fraction form
    414,648/873,573 = 873,573/x
  3. Step 3: Cross multiply
    414,648x = 873,573 × 873,573
  4. Step 4: Simplify right side
    414,648x = 763,129,786,329
  5. Step 5: Solve for x
    x = 763,129,786,329/414,648
  6. Step 6: Final answer
    x = 1,840,427.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.