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Finding the Third Proportional to 384,824 and 890,770

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Solution

The third proportional to 384,824 and 890,770 is: 2,061,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,824 : 890,770 = 890,770 : x
  2. Step 2: Convert to fraction form
    384,824/890,770 = 890,770/x
  3. Step 3: Cross multiply
    384,824x = 890,770 × 890,770
  4. Step 4: Simplify right side
    384,824x = 793,471,192,900
  5. Step 5: Solve for x
    x = 793,471,192,900/384,824
  6. Step 6: Final answer
    x = 2,061,906.72

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.