Finding the Third Proportional to 491,184 and 1,057,536
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Solution
The third proportional to 491,184 and 1,057,536 is: 2,276,911.28
Step by Step Solution
- Step 1: Write the proportion equation
491,184 : 1,057,536 = 1,057,536 : x - Step 2: Convert to fraction form
491,184/1,057,536 = 1,057,536/x - Step 3: Cross multiply
491,184x = 1,057,536 × 1,057,536 - Step 4: Simplify right side
491,184x = 1,118,382,391,296 - Step 5: Solve for x
x = 1,118,382,391,296/491,184 - Step 6: Final answer
x = 2,276,911.28
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.