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Finding the Third Proportional to 409,810 and 839,852

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Solution

The third proportional to 409,810 and 839,852 is: 1,721,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,810 : 839,852 = 839,852 : x
  2. Step 2: Convert to fraction form
    409,810/839,852 = 839,852/x
  3. Step 3: Cross multiply
    409,810x = 839,852 × 839,852
  4. Step 4: Simplify right side
    409,810x = 705,351,381,904
  5. Step 5: Solve for x
    x = 705,351,381,904/409,810
  6. Step 6: Final answer
    x = 1,721,166.84

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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.