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Finding the Third Proportional to 2,192,022 and 4,803,084

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Solution

The third proportional to 2,192,022 and 4,803,084 is: 10,524,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,022 : 4,803,084 = 4,803,084 : x
  2. Step 2: Convert to fraction form
    2,192,022/4,803,084 = 4,803,084/x
  3. Step 3: Cross multiply
    2,192,022x = 4,803,084 × 4,803,084
  4. Step 4: Simplify right side
    2,192,022x = 23,069,615,911,056
  5. Step 5: Solve for x
    x = 23,069,615,911,056/2,192,022
  6. Step 6: Final answer
    x = 10,524,354.19

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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.