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Finding the Third Proportional to 2,121,861 and 4,341,759

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Solution

The third proportional to 2,121,861 and 4,341,759 is: 8,884,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,861 : 4,341,759 = 4,341,759 : x
  2. Step 2: Convert to fraction form
    2,121,861/4,341,759 = 4,341,759/x
  3. Step 3: Cross multiply
    2,121,861x = 4,341,759 × 4,341,759
  4. Step 4: Simplify right side
    2,121,861x = 18,850,871,214,081
  5. Step 5: Solve for x
    x = 18,850,871,214,081/2,121,861
  6. Step 6: Final answer
    x = 8,884,121.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.