Finding the Third Proportional to 430,197,794 and 661,244,995
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Solution
The third proportional to 430,197,794 and 661,244,995 is: 1,016,381,184.45
Step by Step Solution
- Step 1: Write the proportion equation
430,197,794 : 661,244,995 = 661,244,995 : x - Step 2: Convert to fraction form
430,197,794/661,244,995 = 661,244,995/x - Step 3: Cross multiply
430,197,794x = 661,244,995 × 661,244,995 - Step 4: Simplify right side
430,197,794x = 437,244,943,412,550,016 - Step 5: Solve for x
x = 437,244,943,412,550,016/430,197,794 - Step 6: Final answer
x = 1,016,381,184.45
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.