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Finding the Third Proportional to 3,183,289 and 6,904,894

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Solution

The third proportional to 3,183,289 and 6,904,894 is: 14,977,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,289 : 6,904,894 = 6,904,894 : x
  2. Step 2: Convert to fraction form
    3,183,289/6,904,894 = 6,904,894/x
  3. Step 3: Cross multiply
    3,183,289x = 6,904,894 × 6,904,894
  4. Step 4: Simplify right side
    3,183,289x = 47,677,561,151,236
  5. Step 5: Solve for x
    x = 47,677,561,151,236/3,183,289
  6. Step 6: Final answer
    x = 14,977,452.93

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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.