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Finding the Third Proportional to 3,980,830 and 6,004,233

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Solution

The third proportional to 3,980,830 and 6,004,233 is: 9,056,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980,830 : 6,004,233 = 6,004,233 : x
  2. Step 2: Convert to fraction form
    3,980,830/6,004,233 = 6,004,233/x
  3. Step 3: Cross multiply
    3,980,830x = 6,004,233 × 6,004,233
  4. Step 4: Simplify right side
    3,980,830x = 36,050,813,918,289
  5. Step 5: Solve for x
    x = 36,050,813,918,289/3,980,830
  6. Step 6: Final answer
    x = 9,056,104.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.