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Finding the Third Proportional to 2,593,034 and 3,925,341

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Solution

The third proportional to 2,593,034 and 3,925,341 is: 5,942,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593,034 : 3,925,341 = 3,925,341 : x
  2. Step 2: Convert to fraction form
    2,593,034/3,925,341 = 3,925,341/x
  3. Step 3: Cross multiply
    2,593,034x = 3,925,341 × 3,925,341
  4. Step 4: Simplify right side
    2,593,034x = 15,408,301,966,281
  5. Step 5: Solve for x
    x = 15,408,301,966,281/2,593,034
  6. Step 6: Final answer
    x = 5,942,190.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.