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Finding the Third Proportional to 2,049,120 and 3,292,380

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Solution

The third proportional to 2,049,120 and 3,292,380 is: 5,289,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,120 : 3,292,380 = 3,292,380 : x
  2. Step 2: Convert to fraction form
    2,049,120/3,292,380 = 3,292,380/x
  3. Step 3: Cross multiply
    2,049,120x = 3,292,380 × 3,292,380
  4. Step 4: Simplify right side
    2,049,120x = 10,839,766,064,400
  5. Step 5: Solve for x
    x = 10,839,766,064,400/2,049,120
  6. Step 6: Final answer
    x = 5,289,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.