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Finding the Third Proportional to 949,378 and 1,424,256

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Solution

The third proportional to 949,378 and 1,424,256 is: 2,136,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,378 : 1,424,256 = 1,424,256 : x
  2. Step 2: Convert to fraction form
    949,378/1,424,256 = 1,424,256/x
  3. Step 3: Cross multiply
    949,378x = 1,424,256 × 1,424,256
  4. Step 4: Simplify right side
    949,378x = 2,028,505,153,536
  5. Step 5: Solve for x
    x = 2,028,505,153,536/949,378
  6. Step 6: Final answer
    x = 2,136,667.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.