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Finding the Third Proportional to 605,644 and 1,274,064

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Solution

The third proportional to 605,644 and 1,274,064 is: 2,680,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,644 : 1,274,064 = 1,274,064 : x
  2. Step 2: Convert to fraction form
    605,644/1,274,064 = 1,274,064/x
  3. Step 3: Cross multiply
    605,644x = 1,274,064 × 1,274,064
  4. Step 4: Simplify right side
    605,644x = 1,623,239,076,096
  5. Step 5: Solve for x
    x = 1,623,239,076,096/605,644
  6. Step 6: Final answer
    x = 2,680,186.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.