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Finding the Third Proportional to 628,872 and 1,364,064

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Solution

The third proportional to 628,872 and 1,364,064 is: 2,958,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,872 : 1,364,064 = 1,364,064 : x
  2. Step 2: Convert to fraction form
    628,872/1,364,064 = 1,364,064/x
  3. Step 3: Cross multiply
    628,872x = 1,364,064 × 1,364,064
  4. Step 4: Simplify right side
    628,872x = 1,860,670,596,096
  5. Step 5: Solve for x
    x = 1,860,670,596,096/628,872
  6. Step 6: Final answer
    x = 2,958,742.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.