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Finding the Third Proportional to 2,049,376 and 3,292,720

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Solution

The third proportional to 2,049,376 and 3,292,720 is: 5,290,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,376 : 3,292,720 = 3,292,720 : x
  2. Step 2: Convert to fraction form
    2,049,376/3,292,720 = 3,292,720/x
  3. Step 3: Cross multiply
    2,049,376x = 3,292,720 × 3,292,720
  4. Step 4: Simplify right side
    2,049,376x = 10,842,004,998,400
  5. Step 5: Solve for x
    x = 10,842,004,998,400/2,049,376
  6. Step 6: Final answer
    x = 5,290,393.27

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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.