Finding the Third Proportional to 682,319.81 and 1,070,226.84
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Solution
The third proportional to 682,319.81 and 1,070,226.84 is: 1,678,663.69
Step by Step Solution
- Step 1: Write the proportion equation
682,319.81 : 1,070,226.84 = 1,070,226.84 : x - Step 2: Convert to fraction form
682,319.81/1,070,226.84 = 1,070,226.84/x - Step 3: Cross multiply
682,319.81x = 1,070,226.84 × 1,070,226.84 - Step 4: Simplify right side
682,319.81x = 1,145,385,497,083.09 - Step 5: Solve for x
x = 1,145,385,497,083.09/682,319.81 - Step 6: Final answer
x = 1,678,663.69
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.