Finding the Third Proportional to 505,784 and 1,083,308
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Solution
The third proportional to 505,784 and 1,083,308 is: 2,320,271.54
Step by Step Solution
- Step 1: Write the proportion equation
505,784 : 1,083,308 = 1,083,308 : x - Step 2: Convert to fraction form
505,784/1,083,308 = 1,083,308/x - Step 3: Cross multiply
505,784x = 1,083,308 × 1,083,308 - Step 4: Simplify right side
505,784x = 1,173,556,222,864 - Step 5: Solve for x
x = 1,173,556,222,864/505,784 - Step 6: Final answer
x = 2,320,271.54
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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.