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Finding the Third Proportional to 1,380,206 and 2,095,144

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Solution

The third proportional to 1,380,206 and 2,095,144 is: 3,180,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,206 : 2,095,144 = 2,095,144 : x
  2. Step 2: Convert to fraction form
    1,380,206/2,095,144 = 2,095,144/x
  3. Step 3: Cross multiply
    1,380,206x = 2,095,144 × 2,095,144
  4. Step 4: Simplify right side
    1,380,206x = 4,389,628,380,736
  5. Step 5: Solve for x
    x = 4,389,628,380,736/1,380,206
  6. Step 6: Final answer
    x = 3,180,415.37

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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.