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Finding the Third Proportional to 2,939,469 and 6,298,842

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Solution

The third proportional to 2,939,469 and 6,298,842 is: 13,497,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939,469 : 6,298,842 = 6,298,842 : x
  2. Step 2: Convert to fraction form
    2,939,469/6,298,842 = 6,298,842/x
  3. Step 3: Cross multiply
    2,939,469x = 6,298,842 × 6,298,842
  4. Step 4: Simplify right side
    2,939,469x = 39,675,410,540,964
  5. Step 5: Solve for x
    x = 39,675,410,540,964/2,939,469
  6. Step 6: Final answer
    x = 13,497,475.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.