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Finding the Third Proportional to 399,000 and 854,046

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Solution

The third proportional to 399,000 and 854,046 is: 1,828,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,000 : 854,046 = 854,046 : x
  2. Step 2: Convert to fraction form
    399,000/854,046 = 854,046/x
  3. Step 3: Cross multiply
    399,000x = 854,046 × 854,046
  4. Step 4: Simplify right side
    399,000x = 729,394,570,116
  5. Step 5: Solve for x
    x = 729,394,570,116/399,000
  6. Step 6: Final answer
    x = 1,828,056.57

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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.