Finding the Third Proportional to 410,290 and 862,048
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Solution
The third proportional to 410,290 and 862,048 is: 1,811,223.17
Step by Step Solution
- Step 1: Write the proportion equation
410,290 : 862,048 = 862,048 : x - Step 2: Convert to fraction form
410,290/862,048 = 862,048/x - Step 3: Cross multiply
410,290x = 862,048 × 862,048 - Step 4: Simplify right side
410,290x = 743,126,754,304 - Step 5: Solve for x
x = 743,126,754,304/410,290 - Step 6: Final answer
x = 1,811,223.17
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.