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Finding the Third Proportional to 414,518 and 885,908

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Solution

The third proportional to 414,518 and 885,908 is: 1,893,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,518 : 885,908 = 885,908 : x
  2. Step 2: Convert to fraction form
    414,518/885,908 = 885,908/x
  3. Step 3: Cross multiply
    414,518x = 885,908 × 885,908
  4. Step 4: Simplify right side
    414,518x = 784,832,984,464
  5. Step 5: Solve for x
    x = 784,832,984,464/414,518
  6. Step 6: Final answer
    x = 1,893,362.86

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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.