Finding the Third Proportional to 974,642 and 1,461,964
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Solution
The third proportional to 974,642 and 1,461,964 is: 2,192,947.50
Step by Step Solution
- Step 1: Write the proportion equation
974,642 : 1,461,964 = 1,461,964 : x - Step 2: Convert to fraction form
974,642/1,461,964 = 1,461,964/x - Step 3: Cross multiply
974,642x = 1,461,964 × 1,461,964 - Step 4: Simplify right side
974,642x = 2,137,338,737,296 - Step 5: Solve for x
x = 2,137,338,737,296/974,642 - Step 6: Final answer
x = 2,192,947.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.