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Finding the Third Proportional to 1,740,112 and 2,450,496

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Solution

The third proportional to 1,740,112 and 2,450,496 is: 3,450,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,112 : 2,450,496 = 2,450,496 : x
  2. Step 2: Convert to fraction form
    1,740,112/2,450,496 = 2,450,496/x
  3. Step 3: Cross multiply
    1,740,112x = 2,450,496 × 2,450,496
  4. Step 4: Simplify right side
    1,740,112x = 6,004,930,646,016
  5. Step 5: Solve for x
    x = 6,004,930,646,016/1,740,112
  6. Step 6: Final answer
    x = 3,450,887.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.