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Finding the Third Proportional to 1,566,193 and 2,082,471

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Solution

The third proportional to 1,566,193 and 2,082,471 is: 2,768,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,193 : 2,082,471 = 2,082,471 : x
  2. Step 2: Convert to fraction form
    1,566,193/2,082,471 = 2,082,471/x
  3. Step 3: Cross multiply
    1,566,193x = 2,082,471 × 2,082,471
  4. Step 4: Simplify right side
    1,566,193x = 4,336,685,465,841
  5. Step 5: Solve for x
    x = 4,336,685,465,841/1,566,193
  6. Step 6: Final answer
    x = 2,768,934.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.