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Finding the Third Proportional to 2,024,868 and 4,277,412

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Solution

The third proportional to 2,024,868 and 4,277,412 is: 9,035,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,868 : 4,277,412 = 4,277,412 : x
  2. Step 2: Convert to fraction form
    2,024,868/4,277,412 = 4,277,412/x
  3. Step 3: Cross multiply
    2,024,868x = 4,277,412 × 4,277,412
  4. Step 4: Simplify right side
    2,024,868x = 18,296,253,417,744
  5. Step 5: Solve for x
    x = 18,296,253,417,744/2,024,868
  6. Step 6: Final answer
    x = 9,035,775.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.