Finding the Third Proportional to 462,456 and 1,008,947.25
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Solution
The third proportional to 462,456 and 1,008,947.25 is: 2,201,235.48
Step by Step Solution
- Step 1: Write the proportion equation
462,456 : 1,008,947.25 = 1,008,947.25 : x - Step 2: Convert to fraction form
462,456/1,008,947.25 = 1,008,947.25/x - Step 3: Cross multiply
462,456x = 1,008,947.25 × 1,008,947.25 - Step 4: Simplify right side
462,456x = 1,017,974,553,282.56 - Step 5: Solve for x
x = 1,017,974,553,282.56/462,456 - Step 6: Final answer
x = 2,201,235.48
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.