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Finding the Third Proportional to 409,808 and 839,848

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Solution

The third proportional to 409,808 and 839,848 is: 1,721,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,808 : 839,848 = 839,848 : x
  2. Step 2: Convert to fraction form
    409,808/839,848 = 839,848/x
  3. Step 3: Cross multiply
    409,808x = 839,848 × 839,848
  4. Step 4: Simplify right side
    409,808x = 705,344,663,104
  5. Step 5: Solve for x
    x = 705,344,663,104/409,808
  6. Step 6: Final answer
    x = 1,721,158.84

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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.