Finding the Third Proportional to 421,986 and 924,012
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Solution
The third proportional to 421,986 and 924,012 is: 2,023,285.55
Step by Step Solution
- Step 1: Write the proportion equation
421,986 : 924,012 = 924,012 : x - Step 2: Convert to fraction form
421,986/924,012 = 924,012/x - Step 3: Cross multiply
421,986x = 924,012 × 924,012 - Step 4: Simplify right side
421,986x = 853,798,176,144 - Step 5: Solve for x
x = 853,798,176,144/421,986 - Step 6: Final answer
x = 2,023,285.55
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.