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Finding the Third Proportional to 1,798,125 and 3,825,093

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Solution

The third proportional to 1,798,125 and 3,825,093 is: 8,136,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,125 : 3,825,093 = 3,825,093 : x
  2. Step 2: Convert to fraction form
    1,798,125/3,825,093 = 3,825,093/x
  3. Step 3: Cross multiply
    1,798,125x = 3,825,093 × 3,825,093
  4. Step 4: Simplify right side
    1,798,125x = 14,631,336,458,649
  5. Step 5: Solve for x
    x = 14,631,336,458,649/1,798,125
  6. Step 6: Final answer
    x = 8,136,996.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.