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Finding the Third Proportional to 851,045 and 1,843,930

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Solution

The third proportional to 851,045 and 1,843,930 is: 3,995,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,045 : 1,843,930 = 1,843,930 : x
  2. Step 2: Convert to fraction form
    851,045/1,843,930 = 1,843,930/x
  3. Step 3: Cross multiply
    851,045x = 1,843,930 × 1,843,930
  4. Step 4: Simplify right side
    851,045x = 3,400,077,844,900
  5. Step 5: Solve for x
    x = 3,400,077,844,900/851,045
  6. Step 6: Final answer
    x = 3,995,179.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.