Finding the Third Proportional to 451,878 and 978,140
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Solution
The third proportional to 451,878 and 978,140 is: 2,117,292.41
Step by Step Solution
- Step 1: Write the proportion equation
451,878 : 978,140 = 978,140 : x - Step 2: Convert to fraction form
451,878/978,140 = 978,140/x - Step 3: Cross multiply
451,878x = 978,140 × 978,140 - Step 4: Simplify right side
451,878x = 956,757,859,600 - Step 5: Solve for x
x = 956,757,859,600/451,878 - Step 6: Final answer
x = 2,117,292.41
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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.