Finding the Third Proportional to 532,094 and 842,406
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Solution
The third proportional to 532,094 and 842,406 is: 1,333,688.91
Step by Step Solution
- Step 1: Write the proportion equation
532,094 : 842,406 = 842,406 : x - Step 2: Convert to fraction form
532,094/842,406 = 842,406/x - Step 3: Cross multiply
532,094x = 842,406 × 842,406 - Step 4: Simplify right side
532,094x = 709,647,868,836 - Step 5: Solve for x
x = 709,647,868,836/532,094 - Step 6: Final answer
x = 1,333,688.91
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.