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Finding the Third Proportional to 2,672,129 and 5,722,609

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Solution

The third proportional to 2,672,129 and 5,722,609 is: 12,255,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672,129 : 5,722,609 = 5,722,609 : x
  2. Step 2: Convert to fraction form
    2,672,129/5,722,609 = 5,722,609/x
  3. Step 3: Cross multiply
    2,672,129x = 5,722,609 × 5,722,609
  4. Step 4: Simplify right side
    2,672,129x = 32,748,253,766,881
  5. Step 5: Solve for x
    x = 32,748,253,766,881/2,672,129
  6. Step 6: Final answer
    x = 12,255,491.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.