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Finding the Third Proportional to 796,004 and 1,638,728

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Solution

The third proportional to 796,004 and 1,638,728 is: 3,373,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,004 : 1,638,728 = 1,638,728 : x
  2. Step 2: Convert to fraction form
    796,004/1,638,728 = 1,638,728/x
  3. Step 3: Cross multiply
    796,004x = 1,638,728 × 1,638,728
  4. Step 4: Simplify right side
    796,004x = 2,685,429,457,984
  5. Step 5: Solve for x
    x = 2,685,429,457,984/796,004
  6. Step 6: Final answer
    x = 3,373,638.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.