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Finding the Third Proportional to 2,814,808 and 6,028,194

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Solution

The third proportional to 2,814,808 and 6,028,194 is: 12,909,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,808 : 6,028,194 = 6,028,194 : x
  2. Step 2: Convert to fraction form
    2,814,808/6,028,194 = 6,028,194/x
  3. Step 3: Cross multiply
    2,814,808x = 6,028,194 × 6,028,194
  4. Step 4: Simplify right side
    2,814,808x = 36,339,122,901,636
  5. Step 5: Solve for x
    x = 36,339,122,901,636/2,814,808
  6. Step 6: Final answer
    x = 12,909,982.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.