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Finding the Third Proportional to 738,913 and 1,599,268

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Solution

The third proportional to 738,913 and 1,599,268 is: 3,461,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,913 : 1,599,268 = 1,599,268 : x
  2. Step 2: Convert to fraction form
    738,913/1,599,268 = 1,599,268/x
  3. Step 3: Cross multiply
    738,913x = 1,599,268 × 1,599,268
  4. Step 4: Simplify right side
    738,913x = 2,557,658,135,824
  5. Step 5: Solve for x
    x = 2,557,658,135,824/738,913
  6. Step 6: Final answer
    x = 3,461,379.26

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