Finding the Third Proportional to 478,664 and 973,024
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Solution
The third proportional to 478,664 and 973,024 is: 1,977,954.69
Step by Step Solution
- Step 1: Write the proportion equation
478,664 : 973,024 = 973,024 : x - Step 2: Convert to fraction form
478,664/973,024 = 973,024/x - Step 3: Cross multiply
478,664x = 973,024 × 973,024 - Step 4: Simplify right side
478,664x = 946,775,704,576 - Step 5: Solve for x
x = 946,775,704,576/478,664 - Step 6: Final answer
x = 1,977,954.69
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.