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Finding the Third Proportional to 1,181,296 and 2,412,408

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Solution

The third proportional to 1,181,296 and 2,412,408 is: 4,926,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,296 : 2,412,408 = 2,412,408 : x
  2. Step 2: Convert to fraction form
    1,181,296/2,412,408 = 2,412,408/x
  3. Step 3: Cross multiply
    1,181,296x = 2,412,408 × 2,412,408
  4. Step 4: Simplify right side
    1,181,296x = 5,819,712,358,464
  5. Step 5: Solve for x
    x = 5,819,712,358,464/1,181,296
  6. Step 6: Final answer
    x = 4,926,548.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.