Finding the Third Proportional to 407,892 and 874,834
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Solution
The third proportional to 407,892 and 874,834 is: 1,876,316.59
Step by Step Solution
- Step 1: Write the proportion equation
407,892 : 874,834 = 874,834 : x - Step 2: Convert to fraction form
407,892/874,834 = 874,834/x - Step 3: Cross multiply
407,892x = 874,834 × 874,834 - Step 4: Simplify right side
407,892x = 765,334,527,556 - Step 5: Solve for x
x = 765,334,527,556/407,892 - Step 6: Final answer
x = 1,876,316.59
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.