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Finding the Third Proportional to 1,212,580.13 and 1,902,180.38

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Solution

The third proportional to 1,212,580.13 and 1,902,180.38 is: 2,983,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,580.13 : 1,902,180.38 = 1,902,180.38 : x
  2. Step 2: Convert to fraction form
    1,212,580.13/1,902,180.38 = 1,902,180.38/x
  3. Step 3: Cross multiply
    1,212,580.13x = 1,902,180.38 × 1,902,180.38
  4. Step 4: Simplify right side
    1,212,580.13x = 3,618,290,179,035.14
  5. Step 5: Solve for x
    x = 3,618,290,179,035.14/1,212,580.13
  6. Step 6: Final answer
    x = 2,983,959.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.