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Finding the Third Proportional to 970,191 and 2,040,912

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Solution

The third proportional to 970,191 and 2,040,912 is: 4,293,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,191 : 2,040,912 = 2,040,912 : x
  2. Step 2: Convert to fraction form
    970,191/2,040,912 = 2,040,912/x
  3. Step 3: Cross multiply
    970,191x = 2,040,912 × 2,040,912
  4. Step 4: Simplify right side
    970,191x = 4,165,321,791,744
  5. Step 5: Solve for x
    x = 4,165,321,791,744/970,191
  6. Step 6: Final answer
    x = 4,293,300.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.