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Finding the Third Proportional to 2,291,867 and 4,856,933

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Solution

The third proportional to 2,291,867 and 4,856,933 is: 10,292,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,867 : 4,856,933 = 4,856,933 : x
  2. Step 2: Convert to fraction form
    2,291,867/4,856,933 = 4,856,933/x
  3. Step 3: Cross multiply
    2,291,867x = 4,856,933 × 4,856,933
  4. Step 4: Simplify right side
    2,291,867x = 23,589,798,166,489
  5. Step 5: Solve for x
    x = 23,589,798,166,489/2,291,867
  6. Step 6: Final answer
    x = 10,292,830.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.