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Finding the Third Proportional to 618,519 and 1,303,422

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Solution

The third proportional to 618,519 and 1,303,422 is: 2,746,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,519 : 1,303,422 = 1,303,422 : x
  2. Step 2: Convert to fraction form
    618,519/1,303,422 = 1,303,422/x
  3. Step 3: Cross multiply
    618,519x = 1,303,422 × 1,303,422
  4. Step 4: Simplify right side
    618,519x = 1,698,908,910,084
  5. Step 5: Solve for x
    x = 1,698,908,910,084/618,519
  6. Step 6: Final answer
    x = 2,746,736.82

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Why These Related Problems?

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