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Finding the Third Proportional to 389,848 and 854,152

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Solution

The third proportional to 389,848 and 854,152 is: 1,871,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,848 : 854,152 = 854,152 : x
  2. Step 2: Convert to fraction form
    389,848/854,152 = 854,152/x
  3. Step 3: Cross multiply
    389,848x = 854,152 × 854,152
  4. Step 4: Simplify right side
    389,848x = 729,575,639,104
  5. Step 5: Solve for x
    x = 729,575,639,104/389,848
  6. Step 6: Final answer
    x = 1,871,436.15

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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.