Finding the Third Proportional to 473,968 and 1,036,608
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Solution
The third proportional to 473,968 and 1,036,608 is: 2,267,149.14
Step by Step Solution
- Step 1: Write the proportion equation
473,968 : 1,036,608 = 1,036,608 : x - Step 2: Convert to fraction form
473,968/1,036,608 = 1,036,608/x - Step 3: Cross multiply
473,968x = 1,036,608 × 1,036,608 - Step 4: Simplify right side
473,968x = 1,074,556,145,664 - Step 5: Solve for x
x = 1,074,556,145,664/473,968 - Step 6: Final answer
x = 2,267,149.14
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.