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Finding the Third Proportional to 4,204,653 and 6,392,007

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Solution

The third proportional to 4,204,653 and 6,392,007 is: 9,717,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204,653 : 6,392,007 = 6,392,007 : x
  2. Step 2: Convert to fraction form
    4,204,653/6,392,007 = 6,392,007/x
  3. Step 3: Cross multiply
    4,204,653x = 6,392,007 × 6,392,007
  4. Step 4: Simplify right side
    4,204,653x = 40,857,753,488,049
  5. Step 5: Solve for x
    x = 40,857,753,488,049/4,204,653
  6. Step 6: Final answer
    x = 9,717,271.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.