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Finding the Third Proportional to 2,284,150 and 3,213,740

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Solution

The third proportional to 2,284,150 and 3,213,740 is: 4,521,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,150 : 3,213,740 = 3,213,740 : x
  2. Step 2: Convert to fraction form
    2,284,150/3,213,740 = 3,213,740/x
  3. Step 3: Cross multiply
    2,284,150x = 3,213,740 × 3,213,740
  4. Step 4: Simplify right side
    2,284,150x = 10,328,124,787,600
  5. Step 5: Solve for x
    x = 10,328,124,787,600/2,284,150
  6. Step 6: Final answer
    x = 4,521,649.10

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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.