Finding the Third Proportional to 546,346 and 827,138
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Solution
The third proportional to 546,346 and 827,138 is: 1,252,241.75
Step by Step Solution
- Step 1: Write the proportion equation
546,346 : 827,138 = 827,138 : x - Step 2: Convert to fraction form
546,346/827,138 = 827,138/x - Step 3: Cross multiply
546,346x = 827,138 × 827,138 - Step 4: Simplify right side
546,346x = 684,157,271,044 - Step 5: Solve for x
x = 684,157,271,044/546,346 - Step 6: Final answer
x = 1,252,241.75
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.