Finding the Third Proportional to 416,072 and 851,862
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Solution
The third proportional to 416,072 and 851,862 is: 1,744,094.45
Step by Step Solution
- Step 1: Write the proportion equation
416,072 : 851,862 = 851,862 : x - Step 2: Convert to fraction form
416,072/851,862 = 851,862/x - Step 3: Cross multiply
416,072x = 851,862 × 851,862 - Step 4: Simplify right side
416,072x = 725,668,867,044 - Step 5: Solve for x
x = 725,668,867,044/416,072 - Step 6: Final answer
x = 1,744,094.45
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.