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Finding the Third Proportional to 993,102 and 2,105,376

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Solution

The third proportional to 993,102 and 2,105,376 is: 4,463,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,102 : 2,105,376 = 2,105,376 : x
  2. Step 2: Convert to fraction form
    993,102/2,105,376 = 2,105,376/x
  3. Step 3: Cross multiply
    993,102x = 2,105,376 × 2,105,376
  4. Step 4: Simplify right side
    993,102x = 4,432,608,101,376
  5. Step 5: Solve for x
    x = 4,432,608,101,376/993,102
  6. Step 6: Final answer
    x = 4,463,396.61

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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.