Finding the Third Proportional to 656,217,784 and 959,413,324
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Solution
The third proportional to 656,217,784 and 959,413,324 is: 1,402,695,795.07
Step by Step Solution
- Step 1: Write the proportion equation
656,217,784 : 959,413,324 = 959,413,324 : x - Step 2: Convert to fraction form
656,217,784/959,413,324 = 959,413,324/x - Step 3: Cross multiply
656,217,784x = 959,413,324 × 959,413,324 - Step 4: Simplify right side
656,217,784x = 920,473,926,268,728,960 - Step 5: Solve for x
x = 920,473,926,268,728,960/656,217,784 - Step 6: Final answer
x = 1,402,695,795.07
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.