Finding the Third Proportional to 431,424 and 945,792
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Solution
The third proportional to 431,424 and 945,792 is: 2,073,418.51
Step by Step Solution
- Step 1: Write the proportion equation
431,424 : 945,792 = 945,792 : x - Step 2: Convert to fraction form
431,424/945,792 = 945,792/x - Step 3: Cross multiply
431,424x = 945,792 × 945,792 - Step 4: Simplify right side
431,424x = 894,522,507,264 - Step 5: Solve for x
x = 894,522,507,264/431,424 - Step 6: Final answer
x = 2,073,418.51
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.