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Finding the Third Proportional to 399,004 and 854,054

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Solution

The third proportional to 399,004 and 854,054 is: 1,828,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,004 : 854,054 = 854,054 : x
  2. Step 2: Convert to fraction form
    399,004/854,054 = 854,054/x
  3. Step 3: Cross multiply
    399,004x = 854,054 × 854,054
  4. Step 4: Simplify right side
    399,004x = 729,408,234,916
  5. Step 5: Solve for x
    x = 729,408,234,916/399,004
  6. Step 6: Final answer
    x = 1,828,072.49

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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.