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Finding the Third Proportional to 1,215,193 and 2,617,361

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Solution

The third proportional to 1,215,193 and 2,617,361 is: 5,637,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,193 : 2,617,361 = 2,617,361 : x
  2. Step 2: Convert to fraction form
    1,215,193/2,617,361 = 2,617,361/x
  3. Step 3: Cross multiply
    1,215,193x = 2,617,361 × 2,617,361
  4. Step 4: Simplify right side
    1,215,193x = 6,850,578,604,321
  5. Step 5: Solve for x
    x = 6,850,578,604,321/1,215,193
  6. Step 6: Final answer
    x = 5,637,440.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.