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Finding the Third Proportional to 738,933 and 1,599,313

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Solution

The third proportional to 738,933 and 1,599,313 is: 3,461,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,933 : 1,599,313 = 1,599,313 : x
  2. Step 2: Convert to fraction form
    738,933/1,599,313 = 1,599,313/x
  3. Step 3: Cross multiply
    738,933x = 1,599,313 × 1,599,313
  4. Step 4: Simplify right side
    738,933x = 2,557,802,071,969
  5. Step 5: Solve for x
    x = 2,557,802,071,969/738,933
  6. Step 6: Final answer
    x = 3,461,480.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.