Finding the Third Proportional to 829,160 and 1,798,290
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Solution
The third proportional to 829,160 and 1,798,290 is: 3,900,148.25
Step by Step Solution
- Step 1: Write the proportion equation
829,160 : 1,798,290 = 1,798,290 : x - Step 2: Convert to fraction form
829,160/1,798,290 = 1,798,290/x - Step 3: Cross multiply
829,160x = 1,798,290 × 1,798,290 - Step 4: Simplify right side
829,160x = 3,233,846,924,100 - Step 5: Solve for x
x = 3,233,846,924,100/829,160 - Step 6: Final answer
x = 3,900,148.25
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.