Finding the Third Proportional to 656,458,784 and 1,039,485,864
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Solution
The third proportional to 656,458,784 and 1,039,485,864 is: 1,645,999,547.56
Step by Step Solution
- Step 1: Write the proportion equation
656,458,784 : 1,039,485,864 = 1,039,485,864 : x - Step 2: Convert to fraction form
656,458,784/1,039,485,864 = 1,039,485,864/x - Step 3: Cross multiply
656,458,784x = 1,039,485,864 × 1,039,485,864 - Step 4: Simplify right side
656,458,784x = 1,080,530,861,455,826,432 - Step 5: Solve for x
x = 1,080,530,861,455,826,432/656,458,784 - Step 6: Final answer
x = 1,645,999,547.56
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.