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Finding the Third Proportional to 1,380,196 and 2,095,125

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Solution

The third proportional to 1,380,196 and 2,095,125 is: 3,180,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,196 : 2,095,125 = 2,095,125 : x
  2. Step 2: Convert to fraction form
    1,380,196/2,095,125 = 2,095,125/x
  3. Step 3: Cross multiply
    1,380,196x = 2,095,125 × 2,095,125
  4. Step 4: Simplify right side
    1,380,196x = 4,389,548,765,625
  5. Step 5: Solve for x
    x = 4,389,548,765,625/1,380,196
  6. Step 6: Final answer
    x = 3,180,380.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.