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Finding the Third Proportional to 739,846 and 1,613,750

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Solution

The third proportional to 739,846 and 1,613,750 is: 3,519,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,846 : 1,613,750 = 1,613,750 : x
  2. Step 2: Convert to fraction form
    739,846/1,613,750 = 1,613,750/x
  3. Step 3: Cross multiply
    739,846x = 1,613,750 × 1,613,750
  4. Step 4: Simplify right side
    739,846x = 2,604,189,062,500
  5. Step 5: Solve for x
    x = 2,604,189,062,500/739,846
  6. Step 6: Final answer
    x = 3,519,906.93

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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.