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Finding the Third Proportional to 389,835 and 854,119

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Solution

The third proportional to 389,835 and 854,119 is: 1,871,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,835 : 854,119 = 854,119 : x
  2. Step 2: Convert to fraction form
    389,835/854,119 = 854,119/x
  3. Step 3: Cross multiply
    389,835x = 854,119 × 854,119
  4. Step 4: Simplify right side
    389,835x = 729,519,266,161
  5. Step 5: Solve for x
    x = 729,519,266,161/389,835
  6. Step 6: Final answer
    x = 1,871,353.95

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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.