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Finding the Third Proportional to 1,397,420 and 2,994,064

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Solution

The third proportional to 1,397,420 and 2,994,064 is: 6,414,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,420 : 2,994,064 = 2,994,064 : x
  2. Step 2: Convert to fraction form
    1,397,420/2,994,064 = 2,994,064/x
  3. Step 3: Cross multiply
    1,397,420x = 2,994,064 × 2,994,064
  4. Step 4: Simplify right side
    1,397,420x = 8,964,419,236,096
  5. Step 5: Solve for x
    x = 8,964,419,236,096/1,397,420
  6. Step 6: Final answer
    x = 6,414,978.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.