Finding the Third Proportional to 406,827 and 850,833
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Solution
The third proportional to 406,827 and 850,833 is: 1,779,421.70
Step by Step Solution
- Step 1: Write the proportion equation
406,827 : 850,833 = 850,833 : x - Step 2: Convert to fraction form
406,827/850,833 = 850,833/x - Step 3: Cross multiply
406,827x = 850,833 × 850,833 - Step 4: Simplify right side
406,827x = 723,916,793,889 - Step 5: Solve for x
x = 723,916,793,889/406,827 - Step 6: Final answer
x = 1,779,421.70
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.