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Finding the Third Proportional to 1,200,915 and 2,638,025

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Solution

The third proportional to 1,200,915 and 2,638,025 is: 5,794,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,915 : 2,638,025 = 2,638,025 : x
  2. Step 2: Convert to fraction form
    1,200,915/2,638,025 = 2,638,025/x
  3. Step 3: Cross multiply
    1,200,915x = 2,638,025 × 2,638,025
  4. Step 4: Simplify right side
    1,200,915x = 6,959,175,900,625
  5. Step 5: Solve for x
    x = 6,959,175,900,625/1,200,915
  6. Step 6: Final answer
    x = 5,794,894.64

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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.