Finding the Third Proportional to 560,823 and 1,201,347
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Solution
The third proportional to 560,823 and 1,201,347 is: 2,573,422.66
Step by Step Solution
- Step 1: Write the proportion equation
560,823 : 1,201,347 = 1,201,347 : x - Step 2: Convert to fraction form
560,823/1,201,347 = 1,201,347/x - Step 3: Cross multiply
560,823x = 1,201,347 × 1,201,347 - Step 4: Simplify right side
560,823x = 1,443,234,614,409 - Step 5: Solve for x
x = 1,443,234,614,409/560,823 - Step 6: Final answer
x = 2,573,422.66
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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.