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Finding the Third Proportional to 2,384,260 and 5,109,422

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Solution

The third proportional to 2,384,260 and 5,109,422 is: 10,949,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,260 : 5,109,422 = 5,109,422 : x
  2. Step 2: Convert to fraction form
    2,384,260/5,109,422 = 5,109,422/x
  3. Step 3: Cross multiply
    2,384,260x = 5,109,422 × 5,109,422
  4. Step 4: Simplify right side
    2,384,260x = 26,106,193,174,084
  5. Step 5: Solve for x
    x = 26,106,193,174,084/2,384,260
  6. Step 6: Final answer
    x = 10,949,390.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.