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Finding the Third Proportional to 2,049,074 and 3,292,312

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Solution

The third proportional to 2,049,074 and 3,292,312 is: 5,289,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,074 : 3,292,312 = 3,292,312 : x
  2. Step 2: Convert to fraction form
    2,049,074/3,292,312 = 3,292,312/x
  3. Step 3: Cross multiply
    2,049,074x = 3,292,312 × 3,292,312
  4. Step 4: Simplify right side
    2,049,074x = 10,839,318,305,344
  5. Step 5: Solve for x
    x = 10,839,318,305,344/2,049,074
  6. Step 6: Final answer
    x = 5,289,861.81

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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.