Finding the Third Proportional to 459,395,011 and 706,123,049
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Solution
The third proportional to 459,395,011 and 706,123,049 is: 1,085,361,722.24
Step by Step Solution
- Step 1: Write the proportion equation
459,395,011 : 706,123,049 = 706,123,049 : x - Step 2: Convert to fraction form
459,395,011/706,123,049 = 706,123,049/x - Step 3: Cross multiply
459,395,011x = 706,123,049 × 706,123,049 - Step 4: Simplify right side
459,395,011x = 498,609,760,329,056,384 - Step 5: Solve for x
x = 498,609,760,329,056,384/459,395,011 - Step 6: Final answer
x = 1,085,361,722.24
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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.