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Finding the Third Proportional to 409,662 and 839,004

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Solution

The third proportional to 409,662 and 839,004 is: 1,718,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,662 : 839,004 = 839,004 : x
  2. Step 2: Convert to fraction form
    409,662/839,004 = 839,004/x
  3. Step 3: Cross multiply
    409,662x = 839,004 × 839,004
  4. Step 4: Simplify right side
    409,662x = 703,927,712,016
  5. Step 5: Solve for x
    x = 703,927,712,016/409,662
  6. Step 6: Final answer
    x = 1,718,313.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.