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Finding the Third Proportional to 2,303,729 and 5,027,344

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Solution

The third proportional to 2,303,729 and 5,027,344 is: 10,970,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,729 : 5,027,344 = 5,027,344 : x
  2. Step 2: Convert to fraction form
    2,303,729/5,027,344 = 5,027,344/x
  3. Step 3: Cross multiply
    2,303,729x = 5,027,344 × 5,027,344
  4. Step 4: Simplify right side
    2,303,729x = 25,274,187,694,336
  5. Step 5: Solve for x
    x = 25,274,187,694,336/2,303,729
  6. Step 6: Final answer
    x = 10,970,989.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.