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Finding the Third Proportional to 2,119,022 and 4,641,133

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Solution

The third proportional to 2,119,022 and 4,641,133 is: 10,165,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,022 : 4,641,133 = 4,641,133 : x
  2. Step 2: Convert to fraction form
    2,119,022/4,641,133 = 4,641,133/x
  3. Step 3: Cross multiply
    2,119,022x = 4,641,133 × 4,641,133
  4. Step 4: Simplify right side
    2,119,022x = 21,540,115,523,689
  5. Step 5: Solve for x
    x = 21,540,115,523,689/2,119,022
  6. Step 6: Final answer
    x = 10,165,121.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.