Finding the Third Proportional to 381,718 and 822,080
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Solution
The third proportional to 381,718 and 822,080 is: 1,770,457.58
Step by Step Solution
- Step 1: Write the proportion equation
381,718 : 822,080 = 822,080 : x - Step 2: Convert to fraction form
381,718/822,080 = 822,080/x - Step 3: Cross multiply
381,718x = 822,080 × 822,080 - Step 4: Simplify right side
381,718x = 675,815,526,400 - Step 5: Solve for x
x = 675,815,526,400/381,718 - Step 6: Final answer
x = 1,770,457.58
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.