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Finding the Third Proportional to 379,683 and 835,158

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Solution

The third proportional to 379,683 and 835,158 is: 1,837,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,683 : 835,158 = 835,158 : x
  2. Step 2: Convert to fraction form
    379,683/835,158 = 835,158/x
  3. Step 3: Cross multiply
    379,683x = 835,158 × 835,158
  4. Step 4: Simplify right side
    379,683x = 697,488,884,964
  5. Step 5: Solve for x
    x = 697,488,884,964/379,683
  6. Step 6: Final answer
    x = 1,837,029.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.