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Finding the Third Proportional to 621,142 and 1,268,408

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Solution

The third proportional to 621,142 and 1,268,408 is: 2,590,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,142 : 1,268,408 = 1,268,408 : x
  2. Step 2: Convert to fraction form
    621,142/1,268,408 = 1,268,408/x
  3. Step 3: Cross multiply
    621,142x = 1,268,408 × 1,268,408
  4. Step 4: Simplify right side
    621,142x = 1,608,858,854,464
  5. Step 5: Solve for x
    x = 1,608,858,854,464/621,142
  6. Step 6: Final answer
    x = 2,590,162.72

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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.