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Finding the Third Proportional to 796,027 and 1,748,435

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Solution

The third proportional to 796,027 and 1,748,435 is: 3,840,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,027 : 1,748,435 = 1,748,435 : x
  2. Step 2: Convert to fraction form
    796,027/1,748,435 = 1,748,435/x
  3. Step 3: Cross multiply
    796,027x = 1,748,435 × 1,748,435
  4. Step 4: Simplify right side
    796,027x = 3,057,024,949,225
  5. Step 5: Solve for x
    x = 3,057,024,949,225/796,027
  6. Step 6: Final answer
    x = 3,840,353.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.