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Finding the Third Proportional to 965,589 and 2,120,214

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Solution

The third proportional to 965,589 and 2,120,214 is: 4,655,508.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,589 : 2,120,214 = 2,120,214 : x
  2. Step 2: Convert to fraction form
    965,589/2,120,214 = 2,120,214/x
  3. Step 3: Cross multiply
    965,589x = 2,120,214 × 2,120,214
  4. Step 4: Simplify right side
    965,589x = 4,495,307,405,796
  5. Step 5: Solve for x
    x = 4,495,307,405,796/965,589
  6. Step 6: Final answer
    x = 4,655,508.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.