Finding the Third Proportional to 478,142 and 1,040,400
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Solution
The third proportional to 478,142 and 1,040,400 is: 2,263,829.91
Step by Step Solution
- Step 1: Write the proportion equation
478,142 : 1,040,400 = 1,040,400 : x - Step 2: Convert to fraction form
478,142/1,040,400 = 1,040,400/x - Step 3: Cross multiply
478,142x = 1,040,400 × 1,040,400 - Step 4: Simplify right side
478,142x = 1,082,432,160,000 - Step 5: Solve for x
x = 1,082,432,160,000/478,142 - Step 6: Final answer
x = 2,263,829.91
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.