Finding the Third Proportional to 822 and 1,470
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Solution
The third proportional to 822 and 1,470 is: 2,628.83
Step by Step Solution
- Step 1: Write the proportion equation
822 : 1,470 = 1,470 : x - Step 2: Convert to fraction form
822/1,470 = 1,470/x - Step 3: Cross multiply
822x = 1,470 × 1,470 - Step 4: Simplify right side
822x = 2,160,900 - Step 5: Solve for x
x = 2,160,900/822 - Step 6: Final answer
x = 2,628.83
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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.