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Finding the Third Proportional to 1,551,066 and 3,280,971

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Solution

The third proportional to 1,551,066 and 3,280,971 is: 6,940,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551,066 : 3,280,971 = 3,280,971 : x
  2. Step 2: Convert to fraction form
    1,551,066/3,280,971 = 3,280,971/x
  3. Step 3: Cross multiply
    1,551,066x = 3,280,971 × 3,280,971
  4. Step 4: Simplify right side
    1,551,066x = 10,764,770,702,841
  5. Step 5: Solve for x
    x = 10,764,770,702,841/1,551,066
  6. Step 6: Final answer
    x = 6,940,240.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.