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Finding the Third Proportional to 725,274 and 1,550,340

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Solution

The third proportional to 725,274 and 1,550,340 is: 3,313,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,274 : 1,550,340 = 1,550,340 : x
  2. Step 2: Convert to fraction form
    725,274/1,550,340 = 1,550,340/x
  3. Step 3: Cross multiply
    725,274x = 1,550,340 × 1,550,340
  4. Step 4: Simplify right side
    725,274x = 2,403,554,115,600
  5. Step 5: Solve for x
    x = 2,403,554,115,600/725,274
  6. Step 6: Final answer
    x = 3,313,994.59

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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.