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Finding the Third Proportional to 389,886 and 850,236

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Solution

The third proportional to 389,886 and 850,236 is: 1,854,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,886 : 850,236 = 850,236 : x
  2. Step 2: Convert to fraction form
    389,886/850,236 = 850,236/x
  3. Step 3: Cross multiply
    389,886x = 850,236 × 850,236
  4. Step 4: Simplify right side
    389,886x = 722,901,255,696
  5. Step 5: Solve for x
    x = 722,901,255,696/389,886
  6. Step 6: Final answer
    x = 1,854,134.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.