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Finding the Third Proportional to 733,874 and 1,108,203

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Solution

The third proportional to 733,874 and 1,108,203 is: 1,673,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,874 : 1,108,203 = 1,108,203 : x
  2. Step 2: Convert to fraction form
    733,874/1,108,203 = 1,108,203/x
  3. Step 3: Cross multiply
    733,874x = 1,108,203 × 1,108,203
  4. Step 4: Simplify right side
    733,874x = 1,228,113,889,209
  5. Step 5: Solve for x
    x = 1,228,113,889,209/733,874
  6. Step 6: Final answer
    x = 1,673,466.96

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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.