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Finding the Third Proportional to 2,021,121 and 3,214,251

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Solution

The third proportional to 2,021,121 and 3,214,251 is: 5,111,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,121 : 3,214,251 = 3,214,251 : x
  2. Step 2: Convert to fraction form
    2,021,121/3,214,251 = 3,214,251/x
  3. Step 3: Cross multiply
    2,021,121x = 3,214,251 × 3,214,251
  4. Step 4: Simplify right side
    2,021,121x = 10,331,409,491,001
  5. Step 5: Solve for x
    x = 10,331,409,491,001/2,021,121
  6. Step 6: Final answer
    x = 5,111,722.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.