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Finding the Third Proportional to 2,899,342 and 6,171,932

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Solution

The third proportional to 2,899,342 and 6,171,932 is: 13,138,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899,342 : 6,171,932 = 6,171,932 : x
  2. Step 2: Convert to fraction form
    2,899,342/6,171,932 = 6,171,932/x
  3. Step 3: Cross multiply
    2,899,342x = 6,171,932 × 6,171,932
  4. Step 4: Simplify right side
    2,899,342x = 38,092,744,612,624
  5. Step 5: Solve for x
    x = 38,092,744,612,624/2,899,342
  6. Step 6: Final answer
    x = 13,138,410.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.