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Finding the Third Proportional to 399,388 and 854,936

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Solution

The third proportional to 399,388 and 854,936 is: 1,830,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,388 : 854,936 = 854,936 : x
  2. Step 2: Convert to fraction form
    399,388/854,936 = 854,936/x
  3. Step 3: Cross multiply
    399,388x = 854,936 × 854,936
  4. Step 4: Simplify right side
    399,388x = 730,915,564,096
  5. Step 5: Solve for x
    x = 730,915,564,096/399,388
  6. Step 6: Final answer
    x = 1,830,088.95

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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.