Finding the Third Proportional to 490,353,850 and 1,046,171,843
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Solution
The third proportional to 490,353,850 and 1,046,171,843 is: 2,232,011,689.29
Step by Step Solution
- Step 1: Write the proportion equation
490,353,850 : 1,046,171,843 = 1,046,171,843 : x - Step 2: Convert to fraction form
490,353,850/1,046,171,843 = 1,046,171,843/x - Step 3: Cross multiply
490,353,850x = 1,046,171,843 × 1,046,171,843 - Step 4: Simplify right side
490,353,850x = 1,094,475,525,086,016,640 - Step 5: Solve for x
x = 1,094,475,525,086,016,640/490,353,850 - Step 6: Final answer
x = 2,232,011,689.29
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.