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Finding the Third Proportional to 2,214,375 and 3,615,846

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Solution

The third proportional to 2,214,375 and 3,615,846 is: 5,904,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,375 : 3,615,846 = 3,615,846 : x
  2. Step 2: Convert to fraction form
    2,214,375/3,615,846 = 3,615,846/x
  3. Step 3: Cross multiply
    2,214,375x = 3,615,846 × 3,615,846
  4. Step 4: Simplify right side
    2,214,375x = 13,074,342,295,716
  5. Step 5: Solve for x
    x = 13,074,342,295,716/2,214,375
  6. Step 6: Final answer
    x = 5,904,303.61

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.