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Finding the Third Proportional to 2,964,977 and 6,497,288

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Solution

The third proportional to 2,964,977 and 6,497,288 is: 14,237,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,977 : 6,497,288 = 6,497,288 : x
  2. Step 2: Convert to fraction form
    2,964,977/6,497,288 = 6,497,288/x
  3. Step 3: Cross multiply
    2,964,977x = 6,497,288 × 6,497,288
  4. Step 4: Simplify right side
    2,964,977x = 42,214,751,354,944
  5. Step 5: Solve for x
    x = 42,214,751,354,944/2,964,977
  6. Step 6: Final answer
    x = 14,237,800.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.