Finding the Third Proportional to 432,801 and 947,007
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Solution
The third proportional to 432,801 and 947,007 is: 2,072,135.36
Step by Step Solution
- Step 1: Write the proportion equation
432,801 : 947,007 = 947,007 : x - Step 2: Convert to fraction form
432,801/947,007 = 947,007/x - Step 3: Cross multiply
432,801x = 947,007 × 947,007 - Step 4: Simplify right side
432,801x = 896,822,258,049 - Step 5: Solve for x
x = 896,822,258,049/432,801 - Step 6: Final answer
x = 2,072,135.36
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.