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Finding the Third Proportional to 1,096,672.50 and 1,635,876

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Solution

The third proportional to 1,096,672.50 and 1,635,876 is: 2,440,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,672.50 : 1,635,876 = 1,635,876 : x
  2. Step 2: Convert to fraction form
    1,096,672.50/1,635,876 = 1,635,876/x
  3. Step 3: Cross multiply
    1,096,672.50x = 1,635,876 × 1,635,876
  4. Step 4: Simplify right side
    1,096,672.50x = 2,676,090,287,376
  5. Step 5: Solve for x
    x = 2,676,090,287,376/1,096,672.50
  6. Step 6: Final answer
    x = 2,440,190.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.