Finding the Third Proportional to 411,836 and 902,404
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Solution
The third proportional to 411,836 and 902,404 is: 1,977,323.45
Step by Step Solution
- Step 1: Write the proportion equation
411,836 : 902,404 = 902,404 : x - Step 2: Convert to fraction form
411,836/902,404 = 902,404/x - Step 3: Cross multiply
411,836x = 902,404 × 902,404 - Step 4: Simplify right side
411,836x = 814,332,979,216 - Step 5: Solve for x
x = 814,332,979,216/411,836 - Step 6: Final answer
x = 1,977,323.45
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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.