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Finding the Third Proportional to 413,988 and 854,404

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Solution

The third proportional to 413,988 and 854,404 is: 1,763,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,988 : 854,404 = 854,404 : x
  2. Step 2: Convert to fraction form
    413,988/854,404 = 854,404/x
  3. Step 3: Cross multiply
    413,988x = 854,404 × 854,404
  4. Step 4: Simplify right side
    413,988x = 730,006,195,216
  5. Step 5: Solve for x
    x = 730,006,195,216/413,988
  6. Step 6: Final answer
    x = 1,763,351.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.