Finding the Third Proportional to 412,110 and 868,500
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Solution
The third proportional to 412,110 and 868,500 is: 1,830,317.75
Step by Step Solution
- Step 1: Write the proportion equation
412,110 : 868,500 = 868,500 : x - Step 2: Convert to fraction form
412,110/868,500 = 868,500/x - Step 3: Cross multiply
412,110x = 868,500 × 868,500 - Step 4: Simplify right side
412,110x = 754,292,250,000 - Step 5: Solve for x
x = 754,292,250,000/412,110 - Step 6: Final answer
x = 1,830,317.75
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.