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Finding the Third Proportional to 2,826,009 and 6,121,170

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Solution

The third proportional to 2,826,009 and 6,121,170 is: 13,258,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826,009 : 6,121,170 = 6,121,170 : x
  2. Step 2: Convert to fraction form
    2,826,009/6,121,170 = 6,121,170/x
  3. Step 3: Cross multiply
    2,826,009x = 6,121,170 × 6,121,170
  4. Step 4: Simplify right side
    2,826,009x = 37,468,722,168,900
  5. Step 5: Solve for x
    x = 37,468,722,168,900/2,826,009
  6. Step 6: Final answer
    x = 13,258,528.96

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Why These Related Problems?

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