Finding the Third Proportional to 428,184 and 904,608
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Solution
The third proportional to 428,184 and 904,608 is: 1,911,130.81
Step by Step Solution
- Step 1: Write the proportion equation
428,184 : 904,608 = 904,608 : x - Step 2: Convert to fraction form
428,184/904,608 = 904,608/x - Step 3: Cross multiply
428,184x = 904,608 × 904,608 - Step 4: Simplify right side
428,184x = 818,315,633,664 - Step 5: Solve for x
x = 818,315,633,664/428,184 - Step 6: Final answer
x = 1,911,130.81
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.