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Finding the Third Proportional to 663,048 and 1,447,544

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Solution

The third proportional to 663,048 and 1,447,544 is: 3,160,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,048 : 1,447,544 = 1,447,544 : x
  2. Step 2: Convert to fraction form
    663,048/1,447,544 = 1,447,544/x
  3. Step 3: Cross multiply
    663,048x = 1,447,544 × 1,447,544
  4. Step 4: Simplify right side
    663,048x = 2,095,383,631,936
  5. Step 5: Solve for x
    x = 2,095,383,631,936/663,048
  6. Step 6: Final answer
    x = 3,160,229.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.