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Finding the Third Proportional to 2,678,738 and 4,043,019

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Solution

The third proportional to 2,678,738 and 4,043,019 is: 6,102,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,738 : 4,043,019 = 4,043,019 : x
  2. Step 2: Convert to fraction form
    2,678,738/4,043,019 = 4,043,019/x
  3. Step 3: Cross multiply
    2,678,738x = 4,043,019 × 4,043,019
  4. Step 4: Simplify right side
    2,678,738x = 16,346,002,634,361
  5. Step 5: Solve for x
    x = 16,346,002,634,361/2,678,738
  6. Step 6: Final answer
    x = 6,102,128.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.