Finding the Third Proportional to 416,179 and 897,914
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Solution
The third proportional to 416,179 and 897,914 is: 1,937,266.30
Step by Step Solution
- Step 1: Write the proportion equation
416,179 : 897,914 = 897,914 : x - Step 2: Convert to fraction form
416,179/897,914 = 897,914/x - Step 3: Cross multiply
416,179x = 897,914 × 897,914 - Step 4: Simplify right side
416,179x = 806,249,551,396 - Step 5: Solve for x
x = 806,249,551,396/416,179 - Step 6: Final answer
x = 1,937,266.30
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.