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Finding the Third Proportional to 892,920 and 1,873,024

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Solution

The third proportional to 892,920 and 1,873,024 is: 3,928,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,920 : 1,873,024 = 1,873,024 : x
  2. Step 2: Convert to fraction form
    892,920/1,873,024 = 1,873,024/x
  3. Step 3: Cross multiply
    892,920x = 1,873,024 × 1,873,024
  4. Step 4: Simplify right side
    892,920x = 3,508,218,904,576
  5. Step 5: Solve for x
    x = 3,508,218,904,576/892,920
  6. Step 6: Final answer
    x = 3,928,928.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.