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Finding the Third Proportional to 4,958,736 and 6,982,872

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Solution

The third proportional to 4,958,736 and 6,982,872 is: 9,833,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958,736 : 6,982,872 = 6,982,872 : x
  2. Step 2: Convert to fraction form
    4,958,736/6,982,872 = 6,982,872/x
  3. Step 3: Cross multiply
    4,958,736x = 6,982,872 × 6,982,872
  4. Step 4: Simplify right side
    4,958,736x = 48,760,501,368,384
  5. Step 5: Solve for x
    x = 48,760,501,368,384/4,958,736
  6. Step 6: Final answer
    x = 9,833,252.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.