Finding the Third Proportional to 2,428,917.75 and 5,194,138.19
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Solution
The third proportional to 2,428,917.75 and 5,194,138.19 is: 11,107,445.49
Step by Step Solution
- Step 1: Write the proportion equation
2,428,917.75 : 5,194,138.19 = 5,194,138.19 : x - Step 2: Convert to fraction form
2,428,917.75/5,194,138.19 = 5,194,138.19/x - Step 3: Cross multiply
2,428,917.75x = 5,194,138.19 × 5,194,138.19 - Step 4: Simplify right side
2,428,917.75x = 26,979,071,510,845.79 - Step 5: Solve for x
x = 26,979,071,510,845.79/2,428,917.75 - Step 6: Final answer
x = 11,107,445.49
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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.