Finding the Third Proportional to 456,774 and 983,538
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Solution
The third proportional to 456,774 and 983,538 is: 2,117,780.34
Step by Step Solution
- Step 1: Write the proportion equation
456,774 : 983,538 = 983,538 : x - Step 2: Convert to fraction form
456,774/983,538 = 983,538/x - Step 3: Cross multiply
456,774x = 983,538 × 983,538 - Step 4: Simplify right side
456,774x = 967,346,997,444 - Step 5: Solve for x
x = 967,346,997,444/456,774 - Step 6: Final answer
x = 2,117,780.34
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.