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Finding the Third Proportional to 2,024,424 and 3,031,020

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Solution

The third proportional to 2,024,424 and 3,031,020 is: 4,538,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,424 : 3,031,020 = 3,031,020 : x
  2. Step 2: Convert to fraction form
    2,024,424/3,031,020 = 3,031,020/x
  3. Step 3: Cross multiply
    2,024,424x = 3,031,020 × 3,031,020
  4. Step 4: Simplify right side
    2,024,424x = 9,187,082,240,400
  5. Step 5: Solve for x
    x = 9,187,082,240,400/2,024,424
  6. Step 6: Final answer
    x = 4,538,121.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.