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Finding the Third Proportional to 3,214,904 and 4,973,529

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Solution

The third proportional to 3,214,904 and 4,973,529 is: 7,694,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,904 : 4,973,529 = 4,973,529 : x
  2. Step 2: Convert to fraction form
    3,214,904/4,973,529 = 4,973,529/x
  3. Step 3: Cross multiply
    3,214,904x = 4,973,529 × 4,973,529
  4. Step 4: Simplify right side
    3,214,904x = 24,735,990,713,841
  5. Step 5: Solve for x
    x = 24,735,990,713,841/3,214,904
  6. Step 6: Final answer
    x = 7,694,161.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.