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Finding the Third Proportional to 841,296 and 1,271,976

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Solution

The third proportional to 841,296 and 1,271,976 is: 1,923,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,296 : 1,271,976 = 1,271,976 : x
  2. Step 2: Convert to fraction form
    841,296/1,271,976 = 1,271,976/x
  3. Step 3: Cross multiply
    841,296x = 1,271,976 × 1,271,976
  4. Step 4: Simplify right side
    841,296x = 1,617,922,944,576
  5. Step 5: Solve for x
    x = 1,617,922,944,576/841,296
  6. Step 6: Final answer
    x = 1,923,131.63

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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.