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Finding the Third Proportional to 2,483,638 and 3,643,662

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Solution

The third proportional to 2,483,638 and 3,643,662 is: 5,345,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,638 : 3,643,662 = 3,643,662 : x
  2. Step 2: Convert to fraction form
    2,483,638/3,643,662 = 3,643,662/x
  3. Step 3: Cross multiply
    2,483,638x = 3,643,662 × 3,643,662
  4. Step 4: Simplify right side
    2,483,638x = 13,276,272,770,244
  5. Step 5: Solve for x
    x = 13,276,272,770,244/2,483,638
  6. Step 6: Final answer
    x = 5,345,494.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.