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Finding the Third Proportional to 1,482,652 and 3,231,416

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Solution

The third proportional to 1,482,652 and 3,231,416 is: 7,042,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482,652 : 3,231,416 = 3,231,416 : x
  2. Step 2: Convert to fraction form
    1,482,652/3,231,416 = 3,231,416/x
  3. Step 3: Cross multiply
    1,482,652x = 3,231,416 × 3,231,416
  4. Step 4: Simplify right side
    1,482,652x = 10,442,049,365,056
  5. Step 5: Solve for x
    x = 10,442,049,365,056/1,482,652
  6. Step 6: Final answer
    x = 7,042,818.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.