Finding the Third Proportional to 777,216 and 1,832,086
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Solution
The third proportional to 777,216 and 1,832,086 is: 4,318,669.60
Step by Step Solution
- Step 1: Write the proportion equation
777,216 : 1,832,086 = 1,832,086 : x - Step 2: Convert to fraction form
777,216/1,832,086 = 1,832,086/x - Step 3: Cross multiply
777,216x = 1,832,086 × 1,832,086 - Step 4: Simplify right side
777,216x = 3,356,539,111,396 - Step 5: Solve for x
x = 3,356,539,111,396/777,216 - Step 6: Final answer
x = 4,318,669.60
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.