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Finding the Third Proportional to 1,414,296 and 2,141,988

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Solution

The third proportional to 1,414,296 and 2,141,988 is: 3,244,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,296 : 2,141,988 = 2,141,988 : x
  2. Step 2: Convert to fraction form
    1,414,296/2,141,988 = 2,141,988/x
  3. Step 3: Cross multiply
    1,414,296x = 2,141,988 × 2,141,988
  4. Step 4: Simplify right side
    1,414,296x = 4,588,112,592,144
  5. Step 5: Solve for x
    x = 4,588,112,592,144/1,414,296
  6. Step 6: Final answer
    x = 3,244,096.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.