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Finding the Third Proportional to 736,728.50 and 1,581,096

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Solution

The third proportional to 736,728.50 and 1,581,096 is: 3,393,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,728.50 : 1,581,096 = 1,581,096 : x
  2. Step 2: Convert to fraction form
    736,728.50/1,581,096 = 1,581,096/x
  3. Step 3: Cross multiply
    736,728.50x = 1,581,096 × 1,581,096
  4. Step 4: Simplify right side
    736,728.50x = 2,499,864,561,216
  5. Step 5: Solve for x
    x = 2,499,864,561,216/736,728.50
  6. Step 6: Final answer
    x = 3,393,196.49

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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.