Finding the Third Proportional to 473,473 and 1,017,218
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Solution
The third proportional to 473,473 and 1,017,218 is: 2,185,409.64
Step by Step Solution
- Step 1: Write the proportion equation
473,473 : 1,017,218 = 1,017,218 : x - Step 2: Convert to fraction form
473,473/1,017,218 = 1,017,218/x - Step 3: Cross multiply
473,473x = 1,017,218 × 1,017,218 - Step 4: Simplify right side
473,473x = 1,034,732,459,524 - Step 5: Solve for x
x = 1,034,732,459,524/473,473 - Step 6: Final answer
x = 2,185,409.64
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.