Finding the Third Proportional to 560,896 and 1,216,428
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Solution
The third proportional to 560,896 and 1,216,428 is: 2,638,095.26
Step by Step Solution
- Step 1: Write the proportion equation
560,896 : 1,216,428 = 1,216,428 : x - Step 2: Convert to fraction form
560,896/1,216,428 = 1,216,428/x - Step 3: Cross multiply
560,896x = 1,216,428 × 1,216,428 - Step 4: Simplify right side
560,896x = 1,479,697,079,184 - Step 5: Solve for x
x = 1,479,697,079,184/560,896 - Step 6: Final answer
x = 2,638,095.26
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.