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Finding the Third Proportional to 2,388,208.50 and 4,997,850.75

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Solution

The third proportional to 2,388,208.50 and 4,997,850.75 is: 10,459,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,208.50 : 4,997,850.75 = 4,997,850.75 : x
  2. Step 2: Convert to fraction form
    2,388,208.50/4,997,850.75 = 4,997,850.75/x
  3. Step 3: Cross multiply
    2,388,208.50x = 4,997,850.75 × 4,997,850.75
  4. Step 4: Simplify right side
    2,388,208.50x = 24,978,512,119,275.56
  5. Step 5: Solve for x
    x = 24,978,512,119,275.56/2,388,208.50
  6. Step 6: Final answer
    x = 10,459,100.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.