Finding the Third Proportional to 456,682 and 980,697
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Solution
The third proportional to 456,682 and 980,697 is: 2,105,987.55
Step by Step Solution
- Step 1: Write the proportion equation
456,682 : 980,697 = 980,697 : x - Step 2: Convert to fraction form
456,682/980,697 = 980,697/x - Step 3: Cross multiply
456,682x = 980,697 × 980,697 - Step 4: Simplify right side
456,682x = 961,766,605,809 - Step 5: Solve for x
x = 961,766,605,809/456,682 - Step 6: Final answer
x = 2,105,987.55
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.