Finding the Third Proportional to 506,460 and 1,080,716
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Solution
The third proportional to 506,460 and 1,080,716 is: 2,306,099.34
Step by Step Solution
- Step 1: Write the proportion equation
506,460 : 1,080,716 = 1,080,716 : x - Step 2: Convert to fraction form
506,460/1,080,716 = 1,080,716/x - Step 3: Cross multiply
506,460x = 1,080,716 × 1,080,716 - Step 4: Simplify right side
506,460x = 1,167,947,072,656 - Step 5: Solve for x
x = 1,167,947,072,656/506,460 - Step 6: Final answer
x = 2,306,099.34
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.