Finding the Third Proportional to 982,316 and 1,467,414
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Solution
The third proportional to 982,316 and 1,467,414 is: 2,192,068.38
Step by Step Solution
- Step 1: Write the proportion equation
982,316 : 1,467,414 = 1,467,414 : x - Step 2: Convert to fraction form
982,316/1,467,414 = 1,467,414/x - Step 3: Cross multiply
982,316x = 1,467,414 × 1,467,414 - Step 4: Simplify right side
982,316x = 2,153,303,847,396 - Step 5: Solve for x
x = 2,153,303,847,396/982,316 - Step 6: Final answer
x = 2,192,068.38
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.