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Finding the Third Proportional to 2,782,242 and 5,863,340

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Solution

The third proportional to 2,782,242 and 5,863,340 is: 12,356,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,242 : 5,863,340 = 5,863,340 : x
  2. Step 2: Convert to fraction form
    2,782,242/5,863,340 = 5,863,340/x
  3. Step 3: Cross multiply
    2,782,242x = 5,863,340 × 5,863,340
  4. Step 4: Simplify right side
    2,782,242x = 34,378,755,955,600
  5. Step 5: Solve for x
    x = 34,378,755,955,600/2,782,242
  6. Step 6: Final answer
    x = 12,356,493.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.