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Finding the Third Proportional to 1,384,941 and 2,071,878

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Solution

The third proportional to 1,384,941 and 2,071,878 is: 3,099,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,941 : 2,071,878 = 2,071,878 : x
  2. Step 2: Convert to fraction form
    1,384,941/2,071,878 = 2,071,878/x
  3. Step 3: Cross multiply
    1,384,941x = 2,071,878 × 2,071,878
  4. Step 4: Simplify right side
    1,384,941x = 4,292,678,446,884
  5. Step 5: Solve for x
    x = 4,292,678,446,884/1,384,941
  6. Step 6: Final answer
    x = 3,099,538.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.