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Finding the Third Proportional to 2,259,087.75 and 4,964,523.75

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Solution

The third proportional to 2,259,087.75 and 4,964,523.75 is: 10,909,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,087.75 : 4,964,523.75 = 4,964,523.75 : x
  2. Step 2: Convert to fraction form
    2,259,087.75/4,964,523.75 = 4,964,523.75/x
  3. Step 3: Cross multiply
    2,259,087.75x = 4,964,523.75 × 4,964,523.75
  4. Step 4: Simplify right side
    2,259,087.75x = 24,646,496,064,314.06
  5. Step 5: Solve for x
    x = 24,646,496,064,314.06/2,259,087.75
  6. Step 6: Final answer
    x = 10,909,933.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.