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Finding the Third Proportional to 413,934 and 903,684

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Solution

The third proportional to 413,934 and 903,684 is: 1,972,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,934 : 903,684 = 903,684 : x
  2. Step 2: Convert to fraction form
    413,934/903,684 = 903,684/x
  3. Step 3: Cross multiply
    413,934x = 903,684 × 903,684
  4. Step 4: Simplify right side
    413,934x = 816,644,771,856
  5. Step 5: Solve for x
    x = 816,644,771,856/413,934
  6. Step 6: Final answer
    x = 1,972,886.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.