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Finding the Third Proportional to 385,896 and 836,187

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Solution

The third proportional to 385,896 and 836,187 is: 1,811,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,896 : 836,187 = 836,187 : x
  2. Step 2: Convert to fraction form
    385,896/836,187 = 836,187/x
  3. Step 3: Cross multiply
    385,896x = 836,187 × 836,187
  4. Step 4: Simplify right side
    385,896x = 699,208,698,969
  5. Step 5: Solve for x
    x = 699,208,698,969/385,896
  6. Step 6: Final answer
    x = 1,811,909.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.