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Finding the Third Proportional to 1,878,144 and 3,911,936

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Solution

The third proportional to 1,878,144 and 3,911,936 is: 8,148,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,144 : 3,911,936 = 3,911,936 : x
  2. Step 2: Convert to fraction form
    1,878,144/3,911,936 = 3,911,936/x
  3. Step 3: Cross multiply
    1,878,144x = 3,911,936 × 3,911,936
  4. Step 4: Simplify right side
    1,878,144x = 15,303,243,268,096
  5. Step 5: Solve for x
    x = 15,303,243,268,096/1,878,144
  6. Step 6: Final answer
    x = 8,148,067.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.