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Finding the Third Proportional to 2,384,176 and 5,172,024

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Solution

The third proportional to 2,384,176 and 5,172,024 is: 11,219,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,176 : 5,172,024 = 5,172,024 : x
  2. Step 2: Convert to fraction form
    2,384,176/5,172,024 = 5,172,024/x
  3. Step 3: Cross multiply
    2,384,176x = 5,172,024 × 5,172,024
  4. Step 4: Simplify right side
    2,384,176x = 26,749,832,256,576
  5. Step 5: Solve for x
    x = 26,749,832,256,576/2,384,176
  6. Step 6: Final answer
    x = 11,219,738.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.