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Finding the Third Proportional to 970,442 and 2,105,809

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Solution

The third proportional to 970,442 and 2,105,809 is: 4,569,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,442 : 2,105,809 = 2,105,809 : x
  2. Step 2: Convert to fraction form
    970,442/2,105,809 = 2,105,809/x
  3. Step 3: Cross multiply
    970,442x = 2,105,809 × 2,105,809
  4. Step 4: Simplify right side
    970,442x = 4,434,431,544,481
  5. Step 5: Solve for x
    x = 4,434,431,544,481/970,442
  6. Step 6: Final answer
    x = 4,569,496.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.