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Finding the Third Proportional to 2,145,322 and 3,180,876

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Solution

The third proportional to 2,145,322 and 3,180,876 is: 4,716,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,322 : 3,180,876 = 3,180,876 : x
  2. Step 2: Convert to fraction form
    2,145,322/3,180,876 = 3,180,876/x
  3. Step 3: Cross multiply
    2,145,322x = 3,180,876 × 3,180,876
  4. Step 4: Simplify right side
    2,145,322x = 10,117,972,127,376
  5. Step 5: Solve for x
    x = 10,117,972,127,376/2,145,322
  6. Step 6: Final answer
    x = 4,716,295.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.