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Finding the Third Proportional to 739,874 and 1,613,645

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Solution

The third proportional to 739,874 and 1,613,645 is: 3,519,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,874 : 1,613,645 = 1,613,645 : x
  2. Step 2: Convert to fraction form
    739,874/1,613,645 = 1,613,645/x
  3. Step 3: Cross multiply
    739,874x = 1,613,645 × 1,613,645
  4. Step 4: Simplify right side
    739,874x = 2,603,850,186,025
  5. Step 5: Solve for x
    x = 2,603,850,186,025/739,874
  6. Step 6: Final answer
    x = 3,519,315.70

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Why These Related Problems?

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