Finding the Third Proportional to 413,816 and 886,688
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Solution
The third proportional to 413,816 and 886,688 is: 1,899,915.93
Step by Step Solution
- Step 1: Write the proportion equation
413,816 : 886,688 = 886,688 : x - Step 2: Convert to fraction form
413,816/886,688 = 886,688/x - Step 3: Cross multiply
413,816x = 886,688 × 886,688 - Step 4: Simplify right side
413,816x = 786,215,609,344 - Step 5: Solve for x
x = 786,215,609,344/413,816 - Step 6: Final answer
x = 1,899,915.93
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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.