Finding the Third Proportional to 460,170 and 993,843
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Solution
The third proportional to 460,170 and 993,843 is: 2,146,432.64
Step by Step Solution
- Step 1: Write the proportion equation
460,170 : 993,843 = 993,843 : x - Step 2: Convert to fraction form
460,170/993,843 = 993,843/x - Step 3: Cross multiply
460,170x = 993,843 × 993,843 - Step 4: Simplify right side
460,170x = 987,723,908,649 - Step 5: Solve for x
x = 987,723,908,649/460,170 - Step 6: Final answer
x = 2,146,432.64
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.