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Finding the Third Proportional to 613,896 and 1,332,768

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Solution

The third proportional to 613,896 and 1,332,768 is: 2,893,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,896 : 1,332,768 = 1,332,768 : x
  2. Step 2: Convert to fraction form
    613,896/1,332,768 = 1,332,768/x
  3. Step 3: Cross multiply
    613,896x = 1,332,768 × 1,332,768
  4. Step 4: Simplify right side
    613,896x = 1,776,270,541,824
  5. Step 5: Solve for x
    x = 1,776,270,541,824/613,896
  6. Step 6: Final answer
    x = 2,893,438.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.