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Finding the Third Proportional to 2,742,530 and 5,906,509

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Solution

The third proportional to 2,742,530 and 5,906,509 is: 12,720,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,530 : 5,906,509 = 5,906,509 : x
  2. Step 2: Convert to fraction form
    2,742,530/5,906,509 = 5,906,509/x
  3. Step 3: Cross multiply
    2,742,530x = 5,906,509 × 5,906,509
  4. Step 4: Simplify right side
    2,742,530x = 34,886,848,567,081
  5. Step 5: Solve for x
    x = 34,886,848,567,081/2,742,530
  6. Step 6: Final answer
    x = 12,720,680.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.