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Finding the Third Proportional to 619,744 and 1,313,888

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Solution

The third proportional to 619,744 and 1,313,888 is: 2,785,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,744 : 1,313,888 = 1,313,888 : x
  2. Step 2: Convert to fraction form
    619,744/1,313,888 = 1,313,888/x
  3. Step 3: Cross multiply
    619,744x = 1,313,888 × 1,313,888
  4. Step 4: Simplify right side
    619,744x = 1,726,301,676,544
  5. Step 5: Solve for x
    x = 1,726,301,676,544/619,744
  6. Step 6: Final answer
    x = 2,785,507.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.