Finding the Third Proportional to 429,823 and 923,076
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Solution
The third proportional to 429,823 and 923,076 is: 1,982,372.52
Step by Step Solution
- Step 1: Write the proportion equation
429,823 : 923,076 = 923,076 : x - Step 2: Convert to fraction form
429,823/923,076 = 923,076/x - Step 3: Cross multiply
429,823x = 923,076 × 923,076 - Step 4: Simplify right side
429,823x = 852,069,301,776 - Step 5: Solve for x
x = 852,069,301,776/429,823 - Step 6: Final answer
x = 1,982,372.52
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.