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Finding the Third Proportional to 2,284,157 and 3,213,750

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Solution

The third proportional to 2,284,157 and 3,213,750 is: 4,521,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,157 : 3,213,750 = 3,213,750 : x
  2. Step 2: Convert to fraction form
    2,284,157/3,213,750 = 3,213,750/x
  3. Step 3: Cross multiply
    2,284,157x = 3,213,750 × 3,213,750
  4. Step 4: Simplify right side
    2,284,157x = 10,328,189,062,500
  5. Step 5: Solve for x
    x = 10,328,189,062,500/2,284,157
  6. Step 6: Final answer
    x = 4,521,663.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.