Finding the Third Proportional to 414,840 and 910,032
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Solution
The third proportional to 414,840 and 910,032 is: 1,996,331.70
Step by Step Solution
- Step 1: Write the proportion equation
414,840 : 910,032 = 910,032 : x - Step 2: Convert to fraction form
414,840/910,032 = 910,032/x - Step 3: Cross multiply
414,840x = 910,032 × 910,032 - Step 4: Simplify right side
414,840x = 828,158,241,024 - Step 5: Solve for x
x = 828,158,241,024/414,840 - Step 6: Final answer
x = 1,996,331.70
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.