Finding the Third Proportional to 974,340,576 and 1,407,753,828
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Solution
The third proportional to 974,340,576 and 1,407,753,828 is: 2,033,961,110.79
Step by Step Solution
- Step 1: Write the proportion equation
974,340,576 : 1,407,753,828 = 1,407,753,828 : x - Step 2: Convert to fraction form
974,340,576/1,407,753,828 = 1,407,753,828/x - Step 3: Cross multiply
974,340,576x = 1,407,753,828 × 1,407,753,828 - Step 4: Simplify right side
974,340,576x = 1,981,770,840,248,653,568 - Step 5: Solve for x
x = 1,981,770,840,248,653,568/974,340,576 - Step 6: Final answer
x = 2,033,961,110.79
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.