Finding the Third Proportional to 829,068 and 1,280,242
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Solution
The third proportional to 829,068 and 1,280,242 is: 1,976,942.28
Step by Step Solution
- Step 1: Write the proportion equation
829,068 : 1,280,242 = 1,280,242 : x - Step 2: Convert to fraction form
829,068/1,280,242 = 1,280,242/x - Step 3: Cross multiply
829,068x = 1,280,242 × 1,280,242 - Step 4: Simplify right side
829,068x = 1,639,019,578,564 - Step 5: Solve for x
x = 1,639,019,578,564/829,068 - Step 6: Final answer
x = 1,976,942.28
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.