Finding the Third Proportional to 980,691,682 and 1,462,533,171
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Solution
The third proportional to 980,691,682 and 1,462,533,171 is: 2,181,116,976.45
Step by Step Solution
- Step 1: Write the proportion equation
980,691,682 : 1,462,533,171 = 1,462,533,171 : x - Step 2: Convert to fraction form
980,691,682/1,462,533,171 = 1,462,533,171/x - Step 3: Cross multiply
980,691,682x = 1,462,533,171 × 1,462,533,171 - Step 4: Simplify right side
980,691,682x = 2,139,003,276,275,315,200 - Step 5: Solve for x
x = 2,139,003,276,275,315,200/980,691,682 - Step 6: Final answer
x = 2,181,116,976.45
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.