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Finding the Third Proportional to 733,745 and 1,097,243

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Solution

The third proportional to 733,745 and 1,097,243 is: 1,640,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,745 : 1,097,243 = 1,097,243 : x
  2. Step 2: Convert to fraction form
    733,745/1,097,243 = 1,097,243/x
  3. Step 3: Cross multiply
    733,745x = 1,097,243 × 1,097,243
  4. Step 4: Simplify right side
    733,745x = 1,203,942,201,049
  5. Step 5: Solve for x
    x = 1,203,942,201,049/733,745
  6. Step 6: Final answer
    x = 1,640,818.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.