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Finding the Third Proportional to 1,922,984 and 4,103,400

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Solution

The third proportional to 1,922,984 and 4,103,400 is: 8,756,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,984 : 4,103,400 = 4,103,400 : x
  2. Step 2: Convert to fraction form
    1,922,984/4,103,400 = 4,103,400/x
  3. Step 3: Cross multiply
    1,922,984x = 4,103,400 × 4,103,400
  4. Step 4: Simplify right side
    1,922,984x = 16,837,891,560,000
  5. Step 5: Solve for x
    x = 16,837,891,560,000/1,922,984
  6. Step 6: Final answer
    x = 8,756,126.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.