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Finding the Third Proportional to 414,550 and 885,976

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Solution

The third proportional to 414,550 and 885,976 is: 1,893,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,550 : 885,976 = 885,976 : x
  2. Step 2: Convert to fraction form
    414,550/885,976 = 885,976/x
  3. Step 3: Cross multiply
    414,550x = 885,976 × 885,976
  4. Step 4: Simplify right side
    414,550x = 784,953,472,576
  5. Step 5: Solve for x
    x = 784,953,472,576/414,550
  6. Step 6: Final answer
    x = 1,893,507.35

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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.