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Finding the Third Proportional to 946,647 and 2,037,636

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Solution

The third proportional to 946,647 and 2,037,636 is: 4,385,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,647 : 2,037,636 = 2,037,636 : x
  2. Step 2: Convert to fraction form
    946,647/2,037,636 = 2,037,636/x
  3. Step 3: Cross multiply
    946,647x = 2,037,636 × 2,037,636
  4. Step 4: Simplify right side
    946,647x = 4,151,960,468,496
  5. Step 5: Solve for x
    x = 4,151,960,468,496/946,647
  6. Step 6: Final answer
    x = 4,385,964.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.