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Finding the Third Proportional to 382,920 and 835,470

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Solution

The third proportional to 382,920 and 835,470 is: 1,822,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,920 : 835,470 = 835,470 : x
  2. Step 2: Convert to fraction form
    382,920/835,470 = 835,470/x
  3. Step 3: Cross multiply
    382,920x = 835,470 × 835,470
  4. Step 4: Simplify right side
    382,920x = 698,010,120,900
  5. Step 5: Solve for x
    x = 698,010,120,900/382,920
  6. Step 6: Final answer
    x = 1,822,861.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.