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Finding the Third Proportional to 481,914 and 1,018,080

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Solution

The third proportional to 481,914 and 1,018,080 is: 2,150,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,914 : 1,018,080 = 1,018,080 : x
  2. Step 2: Convert to fraction form
    481,914/1,018,080 = 1,018,080/x
  3. Step 3: Cross multiply
    481,914x = 1,018,080 × 1,018,080
  4. Step 4: Simplify right side
    481,914x = 1,036,486,886,400
  5. Step 5: Solve for x
    x = 1,036,486,886,400/481,914
  6. Step 6: Final answer
    x = 2,150,771.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.