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Finding the Third Proportional to 733,872 and 1,108,200

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Solution

The third proportional to 733,872 and 1,108,200 is: 1,673,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,872 : 1,108,200 = 1,108,200 : x
  2. Step 2: Convert to fraction form
    733,872/1,108,200 = 1,108,200/x
  3. Step 3: Cross multiply
    733,872x = 1,108,200 × 1,108,200
  4. Step 4: Simplify right side
    733,872x = 1,228,107,240,000
  5. Step 5: Solve for x
    x = 1,228,107,240,000/733,872
  6. Step 6: Final answer
    x = 1,673,462.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.