Finding the Third Proportional to 431,500 and 945,944
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Solution
The third proportional to 431,500 and 945,944 is: 2,073,719.70
Step by Step Solution
- Step 1: Write the proportion equation
431,500 : 945,944 = 945,944 : x - Step 2: Convert to fraction form
431,500/945,944 = 945,944/x - Step 3: Cross multiply
431,500x = 945,944 × 945,944 - Step 4: Simplify right side
431,500x = 894,810,051,136 - Step 5: Solve for x
x = 894,810,051,136/431,500 - Step 6: Final answer
x = 2,073,719.70
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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.