Finding the Third Proportional to 420,096 and 921,840
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Solution
The third proportional to 420,096 and 921,840 is: 2,022,844.74
Step by Step Solution
- Step 1: Write the proportion equation
420,096 : 921,840 = 921,840 : x - Step 2: Convert to fraction form
420,096/921,840 = 921,840/x - Step 3: Cross multiply
420,096x = 921,840 × 921,840 - Step 4: Simplify right side
420,096x = 849,788,985,600 - Step 5: Solve for x
x = 849,788,985,600/420,096 - Step 6: Final answer
x = 2,022,844.74
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.