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Finding the Third Proportional to 739,872 and 1,596,288

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Solution

The third proportional to 739,872 and 1,596,288 is: 3,444,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,872 : 1,596,288 = 1,596,288 : x
  2. Step 2: Convert to fraction form
    739,872/1,596,288 = 1,596,288/x
  3. Step 3: Cross multiply
    739,872x = 1,596,288 × 1,596,288
  4. Step 4: Simplify right side
    739,872x = 2,548,135,378,944
  5. Step 5: Solve for x
    x = 2,548,135,378,944/739,872
  6. Step 6: Final answer
    x = 3,444,021.91

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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.