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Finding the Third Proportional to 3,116,072 and 4,661,652

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Solution

The third proportional to 3,116,072 and 4,661,652 is: 6,973,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,072 : 4,661,652 = 4,661,652 : x
  2. Step 2: Convert to fraction form
    3,116,072/4,661,652 = 4,661,652/x
  3. Step 3: Cross multiply
    3,116,072x = 4,661,652 × 4,661,652
  4. Step 4: Simplify right side
    3,116,072x = 21,730,999,369,104
  5. Step 5: Solve for x
    x = 21,730,999,369,104/3,116,072
  6. Step 6: Final answer
    x = 6,973,843.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.