Finding the Third Proportional to 812,726,824 and 1,780,722,992
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Solution
The third proportional to 812,726,824 and 1,780,722,992 is: 3,901,648,475.97
Step by Step Solution
- Step 1: Write the proportion equation
812,726,824 : 1,780,722,992 = 1,780,722,992 : x - Step 2: Convert to fraction form
812,726,824/1,780,722,992 = 1,780,722,992/x - Step 3: Cross multiply
812,726,824x = 1,780,722,992 × 1,780,722,992 - Step 4: Simplify right side
812,726,824x = 3,170,974,374,237,431,808 - Step 5: Solve for x
x = 3,170,974,374,237,431,808/812,726,824 - Step 6: Final answer
x = 3,901,648,475.97
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.