Finding the Third Proportional to 524,024 and 1,122,816
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Solution
The third proportional to 524,024 and 1,122,816 is: 2,405,835.93
Step by Step Solution
- Step 1: Write the proportion equation
524,024 : 1,122,816 = 1,122,816 : x - Step 2: Convert to fraction form
524,024/1,122,816 = 1,122,816/x - Step 3: Cross multiply
524,024x = 1,122,816 × 1,122,816 - Step 4: Simplify right side
524,024x = 1,260,715,769,856 - Step 5: Solve for x
x = 1,260,715,769,856/524,024 - Step 6: Final answer
x = 2,405,835.93
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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.