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Finding the Third Proportional to 414,522 and 885,916

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Solution

The third proportional to 414,522 and 885,916 is: 1,893,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,522 : 885,916 = 885,916 : x
  2. Step 2: Convert to fraction form
    414,522/885,916 = 885,916/x
  3. Step 3: Cross multiply
    414,522x = 885,916 × 885,916
  4. Step 4: Simplify right side
    414,522x = 784,847,159,056
  5. Step 5: Solve for x
    x = 784,847,159,056/414,522
  6. Step 6: Final answer
    x = 1,893,378.78

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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.