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Finding the Third Proportional to 382,635 and 834,158

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Solution

The third proportional to 382,635 and 834,158 is: 1,818,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,635 : 834,158 = 834,158 : x
  2. Step 2: Convert to fraction form
    382,635/834,158 = 834,158/x
  3. Step 3: Cross multiply
    382,635x = 834,158 × 834,158
  4. Step 4: Simplify right side
    382,635x = 695,819,568,964
  5. Step 5: Solve for x
    x = 695,819,568,964/382,635
  6. Step 6: Final answer
    x = 1,818,494.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.