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Finding the Third Proportional to 2,301,462 and 3,452,195

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Solution

The third proportional to 2,301,462 and 3,452,195 is: 5,178,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,462 : 3,452,195 = 3,452,195 : x
  2. Step 2: Convert to fraction form
    2,301,462/3,452,195 = 3,452,195/x
  3. Step 3: Cross multiply
    2,301,462x = 3,452,195 × 3,452,195
  4. Step 4: Simplify right side
    2,301,462x = 11,917,650,318,025
  5. Step 5: Solve for x
    x = 11,917,650,318,025/2,301,462
  6. Step 6: Final answer
    x = 5,178,295.50

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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.