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Finding the Third Proportional to 3,202,488 and 6,964,848

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Solution

The third proportional to 3,202,488 and 6,964,848 is: 15,147,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,488 : 6,964,848 = 6,964,848 : x
  2. Step 2: Convert to fraction form
    3,202,488/6,964,848 = 6,964,848/x
  3. Step 3: Cross multiply
    3,202,488x = 6,964,848 × 6,964,848
  4. Step 4: Simplify right side
    3,202,488x = 48,509,107,663,104
  5. Step 5: Solve for x
    x = 48,509,107,663,104/3,202,488
  6. Step 6: Final answer
    x = 15,147,319.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.