Finding the Third Proportional to 697,214 and 981,783
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Solution
The third proportional to 697,214 and 981,783 is: 1,382,499.29
Step by Step Solution
- Step 1: Write the proportion equation
697,214 : 981,783 = 981,783 : x - Step 2: Convert to fraction form
697,214/981,783 = 981,783/x - Step 3: Cross multiply
697,214x = 981,783 × 981,783 - Step 4: Simplify right side
697,214x = 963,897,859,089 - Step 5: Solve for x
x = 963,897,859,089/697,214 - Step 6: Final answer
x = 1,382,499.29
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.