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Finding the Third Proportional to 414,532 and 885,936

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Solution

The third proportional to 414,532 and 885,936 is: 1,893,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,532 : 885,936 = 885,936 : x
  2. Step 2: Convert to fraction form
    414,532/885,936 = 885,936/x
  3. Step 3: Cross multiply
    414,532x = 885,936 × 885,936
  4. Step 4: Simplify right side
    414,532x = 784,882,596,096
  5. Step 5: Solve for x
    x = 784,882,596,096/414,532
  6. Step 6: Final answer
    x = 1,893,418.59

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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.