Finding the Third Proportional to 826,032 and 1,696,530
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Solution
The third proportional to 826,032 and 1,696,530 is: 3,484,385.64
Step by Step Solution
- Step 1: Write the proportion equation
826,032 : 1,696,530 = 1,696,530 : x - Step 2: Convert to fraction form
826,032/1,696,530 = 1,696,530/x - Step 3: Cross multiply
826,032x = 1,696,530 × 1,696,530 - Step 4: Simplify right side
826,032x = 2,878,214,040,900 - Step 5: Solve for x
x = 2,878,214,040,900/826,032 - Step 6: Final answer
x = 3,484,385.64
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.