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Finding the Third Proportional to 1,280,016 and 2,801,088

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Solution

The third proportional to 1,280,016 and 2,801,088 is: 6,129,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,016 : 2,801,088 = 2,801,088 : x
  2. Step 2: Convert to fraction form
    1,280,016/2,801,088 = 2,801,088/x
  3. Step 3: Cross multiply
    1,280,016x = 2,801,088 × 2,801,088
  4. Step 4: Simplify right side
    1,280,016x = 7,846,093,983,744
  5. Step 5: Solve for x
    x = 7,846,093,983,744/1,280,016
  6. Step 6: Final answer
    x = 6,129,684.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.