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Finding the Third Proportional to 1,280,181 and 2,750,199

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Solution

The third proportional to 1,280,181 and 2,750,199 is: 5,908,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,181 : 2,750,199 = 2,750,199 : x
  2. Step 2: Convert to fraction form
    1,280,181/2,750,199 = 2,750,199/x
  3. Step 3: Cross multiply
    1,280,181x = 2,750,199 × 2,750,199
  4. Step 4: Simplify right side
    1,280,181x = 7,563,594,539,601
  5. Step 5: Solve for x
    x = 7,563,594,539,601/1,280,181
  6. Step 6: Final answer
    x = 5,908,222.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.