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Finding the Third Proportional to 4,200,784 and 6,339,817

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Solution

The third proportional to 4,200,784 and 6,339,817 is: 9,568,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,784 : 6,339,817 = 6,339,817 : x
  2. Step 2: Convert to fraction form
    4,200,784/6,339,817 = 6,339,817/x
  3. Step 3: Cross multiply
    4,200,784x = 6,339,817 × 6,339,817
  4. Step 4: Simplify right side
    4,200,784x = 40,193,279,593,489
  5. Step 5: Solve for x
    x = 40,193,279,593,489/4,200,784
  6. Step 6: Final answer
    x = 9,568,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.