Finding the Third Proportional to 683,683 and 1,496,196
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Solution
The third proportional to 683,683 and 1,496,196 is: 3,274,328.12
Step by Step Solution
- Step 1: Write the proportion equation
683,683 : 1,496,196 = 1,496,196 : x - Step 2: Convert to fraction form
683,683/1,496,196 = 1,496,196/x - Step 3: Cross multiply
683,683x = 1,496,196 × 1,496,196 - Step 4: Simplify right side
683,683x = 2,238,602,470,416 - Step 5: Solve for x
x = 2,238,602,470,416/683,683 - Step 6: Final answer
x = 3,274,328.12
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.