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Finding the Third Proportional to 1,821,150 and 2,623,245

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Solution

The third proportional to 1,821,150 and 2,623,245 is: 3,778,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,150 : 2,623,245 = 2,623,245 : x
  2. Step 2: Convert to fraction form
    1,821,150/2,623,245 = 2,623,245/x
  3. Step 3: Cross multiply
    1,821,150x = 2,623,245 × 2,623,245
  4. Step 4: Simplify right side
    1,821,150x = 6,881,414,330,025
  5. Step 5: Solve for x
    x = 6,881,414,330,025/1,821,150
  6. Step 6: Final answer
    x = 3,778,609.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.