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Finding the Third Proportional to 2,138,814 and 4,755,831

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Solution

The third proportional to 2,138,814 and 4,755,831 is: 10,574,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,814 : 4,755,831 = 4,755,831 : x
  2. Step 2: Convert to fraction form
    2,138,814/4,755,831 = 4,755,831/x
  3. Step 3: Cross multiply
    2,138,814x = 4,755,831 × 4,755,831
  4. Step 4: Simplify right side
    2,138,814x = 22,617,928,500,561
  5. Step 5: Solve for x
    x = 22,617,928,500,561/2,138,814
  6. Step 6: Final answer
    x = 10,574,986.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.