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Finding the Third Proportional to 856,992 and 1,636,224

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Solution

The third proportional to 856,992 and 1,636,224 is: 3,123,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,992 : 1,636,224 = 1,636,224 : x
  2. Step 2: Convert to fraction form
    856,992/1,636,224 = 1,636,224/x
  3. Step 3: Cross multiply
    856,992x = 1,636,224 × 1,636,224
  4. Step 4: Simplify right side
    856,992x = 2,677,228,978,176
  5. Step 5: Solve for x
    x = 2,677,228,978,176/856,992
  6. Step 6: Final answer
    x = 3,123,983.63

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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.