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Finding the Third Proportional to 2,305,733 and 4,952,629

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Solution

The third proportional to 2,305,733 and 4,952,629 is: 10,638,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,733 : 4,952,629 = 4,952,629 : x
  2. Step 2: Convert to fraction form
    2,305,733/4,952,629 = 4,952,629/x
  3. Step 3: Cross multiply
    2,305,733x = 4,952,629 × 4,952,629
  4. Step 4: Simplify right side
    2,305,733x = 24,528,534,011,641
  5. Step 5: Solve for x
    x = 24,528,534,011,641/2,305,733
  6. Step 6: Final answer
    x = 10,638,063.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.