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Finding the Third Proportional to 970,201 and 2,040,941

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Solution

The third proportional to 970,201 and 2,040,941 is: 4,293,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,201 : 2,040,941 = 2,040,941 : x
  2. Step 2: Convert to fraction form
    970,201/2,040,941 = 2,040,941/x
  3. Step 3: Cross multiply
    970,201x = 2,040,941 × 2,040,941
  4. Step 4: Simplify right side
    970,201x = 4,165,440,165,481
  5. Step 5: Solve for x
    x = 4,165,440,165,481/970,201
  6. Step 6: Final answer
    x = 4,293,378.55

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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.