Finding the Third Proportional to 414,892 and 845,012
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Solution
The third proportional to 414,892 and 845,012 is: 1,721,038.92
Step by Step Solution
- Step 1: Write the proportion equation
414,892 : 845,012 = 845,012 : x - Step 2: Convert to fraction form
414,892/845,012 = 845,012/x - Step 3: Cross multiply
414,892x = 845,012 × 845,012 - Step 4: Simplify right side
414,892x = 714,045,280,144 - Step 5: Solve for x
x = 714,045,280,144/414,892 - Step 6: Final answer
x = 1,721,038.92
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.