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Finding the Third Proportional to 399,392 and 854,944

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Solution

The third proportional to 399,392 and 854,944 is: 1,830,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,392 : 854,944 = 854,944 : x
  2. Step 2: Convert to fraction form
    399,392/854,944 = 854,944/x
  3. Step 3: Cross multiply
    399,392x = 854,944 × 854,944
  4. Step 4: Simplify right side
    399,392x = 730,929,243,136
  5. Step 5: Solve for x
    x = 730,929,243,136/399,392
  6. Step 6: Final answer
    x = 1,830,104.87

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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.