Finding the Third Proportional to 498,080 and 1,066,144
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Solution
The third proportional to 498,080 and 1,066,144 is: 2,282,089.28
Step by Step Solution
- Step 1: Write the proportion equation
498,080 : 1,066,144 = 1,066,144 : x - Step 2: Convert to fraction form
498,080/1,066,144 = 1,066,144/x - Step 3: Cross multiply
498,080x = 1,066,144 × 1,066,144 - Step 4: Simplify right side
498,080x = 1,136,663,028,736 - Step 5: Solve for x
x = 1,136,663,028,736/498,080 - Step 6: Final answer
x = 2,282,089.28
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.