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Finding the Third Proportional to 993,122 and 2,105,410

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Solution

The third proportional to 993,122 and 2,105,410 is: 4,463,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,122 : 2,105,410 = 2,105,410 : x
  2. Step 2: Convert to fraction form
    993,122/2,105,410 = 2,105,410/x
  3. Step 3: Cross multiply
    993,122x = 2,105,410 × 2,105,410
  4. Step 4: Simplify right side
    993,122x = 4,432,751,268,100
  5. Step 5: Solve for x
    x = 4,432,751,268,100/993,122
  6. Step 6: Final answer
    x = 4,463,450.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.