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Finding the Third Proportional to 384,831 and 890,786

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Solution

The third proportional to 384,831 and 890,786 is: 2,061,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,831 : 890,786 = 890,786 : x
  2. Step 2: Convert to fraction form
    384,831/890,786 = 890,786/x
  3. Step 3: Cross multiply
    384,831x = 890,786 × 890,786
  4. Step 4: Simplify right side
    384,831x = 793,499,697,796
  5. Step 5: Solve for x
    x = 793,499,697,796/384,831
  6. Step 6: Final answer
    x = 2,061,943.29

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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.