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Finding the Third Proportional to 852,008 and 1,823,701

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Solution

The third proportional to 852,008 and 1,823,701 is: 3,903,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,008 : 1,823,701 = 1,823,701 : x
  2. Step 2: Convert to fraction form
    852,008/1,823,701 = 1,823,701/x
  3. Step 3: Cross multiply
    852,008x = 1,823,701 × 1,823,701
  4. Step 4: Simplify right side
    852,008x = 3,325,885,337,401
  5. Step 5: Solve for x
    x = 3,325,885,337,401/852,008
  6. Step 6: Final answer
    x = 3,903,584.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.