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Finding the Third Proportional to 1,312,274 and 2,729,250

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Solution

The third proportional to 1,312,274 and 2,729,250 is: 5,676,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,274 : 2,729,250 = 2,729,250 : x
  2. Step 2: Convert to fraction form
    1,312,274/2,729,250 = 2,729,250/x
  3. Step 3: Cross multiply
    1,312,274x = 2,729,250 × 2,729,250
  4. Step 4: Simplify right side
    1,312,274x = 7,448,805,562,500
  5. Step 5: Solve for x
    x = 7,448,805,562,500/1,312,274
  6. Step 6: Final answer
    x = 5,676,257.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.