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Finding the Third Proportional to 4,429,872 and 6,949,161

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Solution

The third proportional to 4,429,872 and 6,949,161 is: 10,901,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429,872 : 6,949,161 = 6,949,161 : x
  2. Step 2: Convert to fraction form
    4,429,872/6,949,161 = 6,949,161/x
  3. Step 3: Cross multiply
    4,429,872x = 6,949,161 × 6,949,161
  4. Step 4: Simplify right side
    4,429,872x = 48,290,838,603,921
  5. Step 5: Solve for x
    x = 48,290,838,603,921/4,429,872
  6. Step 6: Final answer
    x = 10,901,181.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.