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Finding the Third Proportional to 1,268,728 and 2,960,465

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Solution

The third proportional to 1,268,728 and 2,960,465 is: 6,907,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,728 : 2,960,465 = 2,960,465 : x
  2. Step 2: Convert to fraction form
    1,268,728/2,960,465 = 2,960,465/x
  3. Step 3: Cross multiply
    1,268,728x = 2,960,465 × 2,960,465
  4. Step 4: Simplify right side
    1,268,728x = 8,764,353,016,225
  5. Step 5: Solve for x
    x = 8,764,353,016,225/1,268,728
  6. Step 6: Final answer
    x = 6,907,984.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.