Finding the Third Proportional to 414,540 and 916,200
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Solution
The third proportional to 414,540 and 916,200 is: 2,024,949.20
Step by Step Solution
- Step 1: Write the proportion equation
414,540 : 916,200 = 916,200 : x - Step 2: Convert to fraction form
414,540/916,200 = 916,200/x - Step 3: Cross multiply
414,540x = 916,200 × 916,200 - Step 4: Simplify right side
414,540x = 839,422,440,000 - Step 5: Solve for x
x = 839,422,440,000/414,540 - Step 6: Final answer
x = 2,024,949.20
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.