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Finding the Third Proportional to 3,874,634 and 5,318,823

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Solution

The third proportional to 3,874,634 and 5,318,823 is: 7,301,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874,634 : 5,318,823 = 5,318,823 : x
  2. Step 2: Convert to fraction form
    3,874,634/5,318,823 = 5,318,823/x
  3. Step 3: Cross multiply
    3,874,634x = 5,318,823 × 5,318,823
  4. Step 4: Simplify right side
    3,874,634x = 28,289,878,105,329
  5. Step 5: Solve for x
    x = 28,289,878,105,329/3,874,634
  6. Step 6: Final answer
    x = 7,301,303.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.