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Finding the Third Proportional to 1,225,856 and 2,599,150

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Solution

The third proportional to 1,225,856 and 2,599,150 is: 5,510,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,856 : 2,599,150 = 2,599,150 : x
  2. Step 2: Convert to fraction form
    1,225,856/2,599,150 = 2,599,150/x
  3. Step 3: Cross multiply
    1,225,856x = 2,599,150 × 2,599,150
  4. Step 4: Simplify right side
    1,225,856x = 6,755,580,722,500
  5. Step 5: Solve for x
    x = 6,755,580,722,500/1,225,856
  6. Step 6: Final answer
    x = 5,510,908.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.