Finding the Third Proportional to 535,849 and 1,155,831
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Solution
The third proportional to 535,849 and 1,155,831 is: 2,493,137.62
Step by Step Solution
- Step 1: Write the proportion equation
535,849 : 1,155,831 = 1,155,831 : x - Step 2: Convert to fraction form
535,849/1,155,831 = 1,155,831/x - Step 3: Cross multiply
535,849x = 1,155,831 × 1,155,831 - Step 4: Simplify right side
535,849x = 1,335,945,300,561 - Step 5: Solve for x
x = 1,335,945,300,561/535,849 - Step 6: Final answer
x = 2,493,137.62
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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.