Finding the Third Proportional to 406,830 and 850,839
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Solution
The third proportional to 406,830 and 850,839 is: 1,779,433.68
Step by Step Solution
- Step 1: Write the proportion equation
406,830 : 850,839 = 850,839 : x - Step 2: Convert to fraction form
406,830/850,839 = 850,839/x - Step 3: Cross multiply
406,830x = 850,839 × 850,839 - Step 4: Simplify right side
406,830x = 723,927,003,921 - Step 5: Solve for x
x = 723,927,003,921/406,830 - Step 6: Final answer
x = 1,779,433.68
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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.