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Finding the Third Proportional to 3,085,142 and 6,320,620

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Solution

The third proportional to 3,085,142 and 6,320,620 is: 12,949,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,142 : 6,320,620 = 6,320,620 : x
  2. Step 2: Convert to fraction form
    3,085,142/6,320,620 = 6,320,620/x
  3. Step 3: Cross multiply
    3,085,142x = 6,320,620 × 6,320,620
  4. Step 4: Simplify right side
    3,085,142x = 39,950,237,184,400
  5. Step 5: Solve for x
    x = 39,950,237,184,400/3,085,142
  6. Step 6: Final answer
    x = 12,949,237.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.