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Finding the Third Proportional to 733,874 and 1,033,456

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Solution

The third proportional to 733,874 and 1,033,456 is: 1,455,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,874 : 1,033,456 = 1,033,456 : x
  2. Step 2: Convert to fraction form
    733,874/1,033,456 = 1,033,456/x
  3. Step 3: Cross multiply
    733,874x = 1,033,456 × 1,033,456
  4. Step 4: Simplify right side
    733,874x = 1,068,031,303,936
  5. Step 5: Solve for x
    x = 1,068,031,303,936/733,874
  6. Step 6: Final answer
    x = 1,455,333.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.