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Finding the Third Proportional to 1,414,848 and 2,000,052

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Solution

The third proportional to 1,414,848 and 2,000,052 is: 2,827,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,848 : 2,000,052 = 2,000,052 : x
  2. Step 2: Convert to fraction form
    1,414,848/2,000,052 = 2,000,052/x
  3. Step 3: Cross multiply
    1,414,848x = 2,000,052 × 2,000,052
  4. Step 4: Simplify right side
    1,414,848x = 4,000,208,002,704
  5. Step 5: Solve for x
    x = 4,000,208,002,704/1,414,848
  6. Step 6: Final answer
    x = 2,827,305.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.