Finding the Third Proportional to 498,285,216 and 1,090,410,366
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Solution
The third proportional to 498,285,216 and 1,090,410,366 is: 2,386,173,075.38
Step by Step Solution
- Step 1: Write the proportion equation
498,285,216 : 1,090,410,366 = 1,090,410,366 : x - Step 2: Convert to fraction form
498,285,216/1,090,410,366 = 1,090,410,366/x - Step 3: Cross multiply
498,285,216x = 1,090,410,366 × 1,090,410,366 - Step 4: Simplify right side
498,285,216x = 1,188,994,766,280,253,952 - Step 5: Solve for x
x = 1,188,994,766,280,253,952/498,285,216 - Step 6: Final answer
x = 2,386,173,075.38
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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.