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Finding the Third Proportional to 2,127,828 and 3,184,203

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Solution

The third proportional to 2,127,828 and 3,184,203 is: 4,765,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127,828 : 3,184,203 = 3,184,203 : x
  2. Step 2: Convert to fraction form
    2,127,828/3,184,203 = 3,184,203/x
  3. Step 3: Cross multiply
    2,127,828x = 3,184,203 × 3,184,203
  4. Step 4: Simplify right side
    2,127,828x = 10,139,148,745,209
  5. Step 5: Solve for x
    x = 10,139,148,745,209/2,127,828
  6. Step 6: Final answer
    x = 4,765,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.