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Finding the Third Proportional to 2,129,652 and 4,618,629

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Solution

The third proportional to 2,129,652 and 4,618,629 is: 10,016,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,652 : 4,618,629 = 4,618,629 : x
  2. Step 2: Convert to fraction form
    2,129,652/4,618,629 = 4,618,629/x
  3. Step 3: Cross multiply
    2,129,652x = 4,618,629 × 4,618,629
  4. Step 4: Simplify right side
    2,129,652x = 21,331,733,839,641
  5. Step 5: Solve for x
    x = 21,331,733,839,641/2,129,652
  6. Step 6: Final answer
    x = 10,016,535.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.