Finding the Third Proportional to 591,814 and 837,403
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Solution
The third proportional to 591,814 and 837,403 is: 1,184,905.70
Step by Step Solution
- Step 1: Write the proportion equation
591,814 : 837,403 = 837,403 : x - Step 2: Convert to fraction form
591,814/837,403 = 837,403/x - Step 3: Cross multiply
591,814x = 837,403 × 837,403 - Step 4: Simplify right side
591,814x = 701,243,784,409 - Step 5: Solve for x
x = 701,243,784,409/591,814 - Step 6: Final answer
x = 1,184,905.70
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.