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Finding the Third Proportional to 2,301,454 and 3,452,183

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Solution

The third proportional to 2,301,454 and 3,452,183 is: 5,178,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,454 : 3,452,183 = 3,452,183 : x
  2. Step 2: Convert to fraction form
    2,301,454/3,452,183 = 3,452,183/x
  3. Step 3: Cross multiply
    2,301,454x = 3,452,183 × 3,452,183
  4. Step 4: Simplify right side
    2,301,454x = 11,917,567,465,489
  5. Step 5: Solve for x
    x = 11,917,567,465,489/2,301,454
  6. Step 6: Final answer
    x = 5,178,277.50

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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.