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Finding the Third Proportional to 2,131,216 and 3,250,017

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Solution

The third proportional to 2,131,216 and 3,250,017 is: 4,956,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,216 : 3,250,017 = 3,250,017 : x
  2. Step 2: Convert to fraction form
    2,131,216/3,250,017 = 3,250,017/x
  3. Step 3: Cross multiply
    2,131,216x = 3,250,017 × 3,250,017
  4. Step 4: Simplify right side
    2,131,216x = 10,562,610,500,289
  5. Step 5: Solve for x
    x = 10,562,610,500,289/2,131,216
  6. Step 6: Final answer
    x = 4,956,142.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.