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Finding the Third Proportional to 1,313,936 and 2,832,964

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Solution

The third proportional to 1,313,936 and 2,832,964 is: 6,108,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,936 : 2,832,964 = 2,832,964 : x
  2. Step 2: Convert to fraction form
    1,313,936/2,832,964 = 2,832,964/x
  3. Step 3: Cross multiply
    1,313,936x = 2,832,964 × 2,832,964
  4. Step 4: Simplify right side
    1,313,936x = 8,025,685,025,296
  5. Step 5: Solve for x
    x = 8,025,685,025,296/1,313,936
  6. Step 6: Final answer
    x = 6,108,124.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.