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Finding the Third Proportional to 389,767 and 854,014

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Solution

The third proportional to 389,767 and 854,014 is: 1,871,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,767 : 854,014 = 854,014 : x
  2. Step 2: Convert to fraction form
    389,767/854,014 = 854,014/x
  3. Step 3: Cross multiply
    389,767x = 854,014 × 854,014
  4. Step 4: Simplify right side
    389,767x = 729,339,912,196
  5. Step 5: Solve for x
    x = 729,339,912,196/389,767
  6. Step 6: Final answer
    x = 1,871,220.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.