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Finding the Third Proportional to 442,970 and 971,744

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Solution

The third proportional to 442,970 and 971,744 is: 2,131,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,970 : 971,744 = 971,744 : x
  2. Step 2: Convert to fraction form
    442,970/971,744 = 971,744/x
  3. Step 3: Cross multiply
    442,970x = 971,744 × 971,744
  4. Step 4: Simplify right side
    442,970x = 944,286,401,536
  5. Step 5: Solve for x
    x = 944,286,401,536/442,970
  6. Step 6: Final answer
    x = 2,131,716.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.