Finding the Third Proportional to 904,826,498,302 and 1,349,393,197,746
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Solution
The third proportional to 904,826,498,302 and 1,349,393,197,746 is: 2,012,388,016,421.06
Step by Step Solution
- Step 1: Write the proportion equation
904,826,498,302 : 1,349,393,197,746 = 1,349,393,197,746 : x - Step 2: Convert to fraction form
904,826,498,302/1,349,393,197,746 = 1,349,393,197,746/x - Step 3: Cross multiply
904,826,498,302x = 1,349,393,197,746 × 1,349,393,197,746 - Step 4: Simplify right side
904,826,498,302x = 1,820,862,002,123,175,538,720,768 - Step 5: Solve for x
x = 1,820,862,002,123,175,538,720,768/904,826,498,302 - Step 6: Final answer
x = 2,012,388,016,421.06
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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.