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Finding the Third Proportional to 739,503 and 1,514,052

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Solution

The third proportional to 739,503 and 1,514,052 is: 3,099,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,503 : 1,514,052 = 1,514,052 : x
  2. Step 2: Convert to fraction form
    739,503/1,514,052 = 1,514,052/x
  3. Step 3: Cross multiply
    739,503x = 1,514,052 × 1,514,052
  4. Step 4: Simplify right side
    739,503x = 2,292,353,458,704
  5. Step 5: Solve for x
    x = 2,292,353,458,704/739,503
  6. Step 6: Final answer
    x = 3,099,856.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.