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Finding the Third Proportional to 413,228 and 905,674

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Solution

The third proportional to 413,228 and 905,674 is: 1,984,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,228 : 905,674 = 905,674 : x
  2. Step 2: Convert to fraction form
    413,228/905,674 = 905,674/x
  3. Step 3: Cross multiply
    413,228x = 905,674 × 905,674
  4. Step 4: Simplify right side
    413,228x = 820,245,394,276
  5. Step 5: Solve for x
    x = 820,245,394,276/413,228
  6. Step 6: Final answer
    x = 1,984,970.51

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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.