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Finding the Third Proportional to 1,268,960 and 2,747,008

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Solution

The third proportional to 1,268,960 and 2,747,008 is: 5,946,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,960 : 2,747,008 = 2,747,008 : x
  2. Step 2: Convert to fraction form
    1,268,960/2,747,008 = 2,747,008/x
  3. Step 3: Cross multiply
    1,268,960x = 2,747,008 × 2,747,008
  4. Step 4: Simplify right side
    1,268,960x = 7,546,052,952,064
  5. Step 5: Solve for x
    x = 7,546,052,952,064/1,268,960
  6. Step 6: Final answer
    x = 5,946,643.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.