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Finding the Third Proportional to 2,178,478 and 4,787,012

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Solution

The third proportional to 2,178,478 and 4,787,012 is: 10,519,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,478 : 4,787,012 = 4,787,012 : x
  2. Step 2: Convert to fraction form
    2,178,478/4,787,012 = 4,787,012/x
  3. Step 3: Cross multiply
    2,178,478x = 4,787,012 × 4,787,012
  4. Step 4: Simplify right side
    2,178,478x = 22,915,483,888,144
  5. Step 5: Solve for x
    x = 22,915,483,888,144/2,178,478
  6. Step 6: Final answer
    x = 10,519,033.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.