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Finding the Third Proportional to 2,099,757 and 4,339,479

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Solution

The third proportional to 2,099,757 and 4,339,479 is: 8,968,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,757 : 4,339,479 = 4,339,479 : x
  2. Step 2: Convert to fraction form
    2,099,757/4,339,479 = 4,339,479/x
  3. Step 3: Cross multiply
    2,099,757x = 4,339,479 × 4,339,479
  4. Step 4: Simplify right side
    2,099,757x = 18,831,077,991,441
  5. Step 5: Solve for x
    x = 18,831,077,991,441/2,099,757
  6. Step 6: Final answer
    x = 8,968,217.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.