Finding the Third Proportional to 678,144 and 1,025,946
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Solution
The third proportional to 678,144 and 1,025,946 is: 1,552,126.38
Step by Step Solution
- Step 1: Write the proportion equation
678,144 : 1,025,946 = 1,025,946 : x - Step 2: Convert to fraction form
678,144/1,025,946 = 1,025,946/x - Step 3: Cross multiply
678,144x = 1,025,946 × 1,025,946 - Step 4: Simplify right side
678,144x = 1,052,565,194,916 - Step 5: Solve for x
x = 1,052,565,194,916/678,144 - Step 6: Final answer
x = 1,552,126.38
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.