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Finding the Third Proportional to 856,997 and 1,636,234

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Solution

The third proportional to 856,997 and 1,636,234 is: 3,124,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,997 : 1,636,234 = 1,636,234 : x
  2. Step 2: Convert to fraction form
    856,997/1,636,234 = 1,636,234/x
  3. Step 3: Cross multiply
    856,997x = 1,636,234 × 1,636,234
  4. Step 4: Simplify right side
    856,997x = 2,677,261,702,756
  5. Step 5: Solve for x
    x = 2,677,261,702,756/856,997
  6. Step 6: Final answer
    x = 3,124,003.59

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.