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Finding the Third Proportional to 1,934,783 and 4,100,206

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Solution

The third proportional to 1,934,783 and 4,100,206 is: 8,689,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934,783 : 4,100,206 = 4,100,206 : x
  2. Step 2: Convert to fraction form
    1,934,783/4,100,206 = 4,100,206/x
  3. Step 3: Cross multiply
    1,934,783x = 4,100,206 × 4,100,206
  4. Step 4: Simplify right side
    1,934,783x = 16,811,689,242,436
  5. Step 5: Solve for x
    x = 16,811,689,242,436/1,934,783
  6. Step 6: Final answer
    x = 8,689,185.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.