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Finding the Third Proportional to 739,494 and 1,514,034

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Solution

The third proportional to 739,494 and 1,514,034 is: 3,099,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,494 : 1,514,034 = 1,514,034 : x
  2. Step 2: Convert to fraction form
    739,494/1,514,034 = 1,514,034/x
  3. Step 3: Cross multiply
    739,494x = 1,514,034 × 1,514,034
  4. Step 4: Simplify right side
    739,494x = 2,292,298,953,156
  5. Step 5: Solve for x
    x = 2,292,298,953,156/739,494
  6. Step 6: Final answer
    x = 3,099,820.90

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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.