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Finding the Third Proportional to 399,008 and 854,064

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Solution

The third proportional to 399,008 and 854,064 is: 1,828,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,008 : 854,064 = 854,064 : x
  2. Step 2: Convert to fraction form
    399,008/854,064 = 854,064/x
  3. Step 3: Cross multiply
    399,008x = 854,064 × 854,064
  4. Step 4: Simplify right side
    399,008x = 729,425,316,096
  5. Step 5: Solve for x
    x = 729,425,316,096/399,008
  6. Step 6: Final answer
    x = 1,828,096.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.