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Finding the Third Proportional to 2,332,505.25 and 4,851,225

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Solution

The third proportional to 2,332,505.25 and 4,851,225 is: 10,089,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332,505.25 : 4,851,225 = 4,851,225 : x
  2. Step 2: Convert to fraction form
    2,332,505.25/4,851,225 = 4,851,225/x
  3. Step 3: Cross multiply
    2,332,505.25x = 4,851,225 × 4,851,225
  4. Step 4: Simplify right side
    2,332,505.25x = 23,534,384,000,625
  5. Step 5: Solve for x
    x = 23,534,384,000,625/2,332,505.25
  6. Step 6: Final answer
    x = 10,089,745.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.