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Finding the Third Proportional to 4,574,900 and 6,099,174

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Solution

The third proportional to 4,574,900 and 6,099,174 is: 8,131,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,900 : 6,099,174 = 6,099,174 : x
  2. Step 2: Convert to fraction form
    4,574,900/6,099,174 = 6,099,174/x
  3. Step 3: Cross multiply
    4,574,900x = 6,099,174 × 6,099,174
  4. Step 4: Simplify right side
    4,574,900x = 37,199,923,482,276
  5. Step 5: Solve for x
    x = 37,199,923,482,276/4,574,900
  6. Step 6: Final answer
    x = 8,131,308.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.