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Finding the Third Proportional to 2,678,409 and 4,041,761

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Solution

The third proportional to 2,678,409 and 4,041,761 is: 6,099,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,409 : 4,041,761 = 4,041,761 : x
  2. Step 2: Convert to fraction form
    2,678,409/4,041,761 = 4,041,761/x
  3. Step 3: Cross multiply
    2,678,409x = 4,041,761 × 4,041,761
  4. Step 4: Simplify right side
    2,678,409x = 16,335,831,981,121
  5. Step 5: Solve for x
    x = 16,335,831,981,121/2,678,409
  6. Step 6: Final answer
    x = 6,099,080.45

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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.