Finding the Third Proportional to 505,026 and 1,080,096
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Solution
The third proportional to 505,026 and 1,080,096 is: 2,309,994.67
Step by Step Solution
- Step 1: Write the proportion equation
505,026 : 1,080,096 = 1,080,096 : x - Step 2: Convert to fraction form
505,026/1,080,096 = 1,080,096/x - Step 3: Cross multiply
505,026x = 1,080,096 × 1,080,096 - Step 4: Simplify right side
505,026x = 1,166,607,369,216 - Step 5: Solve for x
x = 1,166,607,369,216/505,026 - Step 6: Final answer
x = 2,309,994.67
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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.