Finding the Third Proportional to 384,992 and 839,864
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Solution
The third proportional to 384,992 and 839,864 is: 1,832,171.94
Step by Step Solution
- Step 1: Write the proportion equation
384,992 : 839,864 = 839,864 : x - Step 2: Convert to fraction form
384,992/839,864 = 839,864/x - Step 3: Cross multiply
384,992x = 839,864 × 839,864 - Step 4: Simplify right side
384,992x = 705,371,538,496 - Step 5: Solve for x
x = 705,371,538,496/384,992 - Step 6: Final answer
x = 1,832,171.94
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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.