Finding the Third Proportional to 413,775 and 886,596
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Solution
The third proportional to 413,775 and 886,596 is: 1,899,709.91
Step by Step Solution
- Step 1: Write the proportion equation
413,775 : 886,596 = 886,596 : x - Step 2: Convert to fraction form
413,775/886,596 = 886,596/x - Step 3: Cross multiply
413,775x = 886,596 × 886,596 - Step 4: Simplify right side
413,775x = 786,052,467,216 - Step 5: Solve for x
x = 786,052,467,216/413,775 - Step 6: Final answer
x = 1,899,709.91
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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.