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Finding the Third Proportional to 739,848 and 1,613,754

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Solution

The third proportional to 739,848 and 1,613,754 is: 3,519,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,848 : 1,613,754 = 1,613,754 : x
  2. Step 2: Convert to fraction form
    739,848/1,613,754 = 1,613,754/x
  3. Step 3: Cross multiply
    739,848x = 1,613,754 × 1,613,754
  4. Step 4: Simplify right side
    739,848x = 2,604,201,972,516
  5. Step 5: Solve for x
    x = 2,604,201,972,516/739,848
  6. Step 6: Final answer
    x = 3,519,914.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.