Finding the Third Proportional to 828,320 and 1,792,048
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Solution
The third proportional to 828,320 and 1,792,048 is: 3,877,047.56
Step by Step Solution
- Step 1: Write the proportion equation
828,320 : 1,792,048 = 1,792,048 : x - Step 2: Convert to fraction form
828,320/1,792,048 = 1,792,048/x - Step 3: Cross multiply
828,320x = 1,792,048 × 1,792,048 - Step 4: Simplify right side
828,320x = 3,211,436,034,304 - Step 5: Solve for x
x = 3,211,436,034,304/828,320 - Step 6: Final answer
x = 3,877,047.56
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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.