Finding the Third Proportional to 570,322,814 and 1,222,498,468
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Solution
The third proportional to 570,322,814 and 1,222,498,468 is: 2,620,450,151.35
Step by Step Solution
- Step 1: Write the proportion equation
570,322,814 : 1,222,498,468 = 1,222,498,468 : x - Step 2: Convert to fraction form
570,322,814/1,222,498,468 = 1,222,498,468/x - Step 3: Cross multiply
570,322,814x = 1,222,498,468 × 1,222,498,468 - Step 4: Simplify right side
570,322,814x = 1,494,502,504,262,347,008 - Step 5: Solve for x
x = 1,494,502,504,262,347,008/570,322,814 - Step 6: Final answer
x = 2,620,450,151.35
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.