Finding the Third Proportional to 497,463 and 1,065,901
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Solution
The third proportional to 497,463 and 1,065,901 is: 2,283,878.28
Step by Step Solution
- Step 1: Write the proportion equation
497,463 : 1,065,901 = 1,065,901 : x - Step 2: Convert to fraction form
497,463/1,065,901 = 1,065,901/x - Step 3: Cross multiply
497,463x = 1,065,901 × 1,065,901 - Step 4: Simplify right side
497,463x = 1,136,144,941,801 - Step 5: Solve for x
x = 1,136,144,941,801/497,463 - Step 6: Final answer
x = 2,283,878.28
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.