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Finding the Third Proportional to 844,744 and 1,838,201

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Solution

The third proportional to 844,744 and 1,838,201 is: 4,000,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,744 : 1,838,201 = 1,838,201 : x
  2. Step 2: Convert to fraction form
    844,744/1,838,201 = 1,838,201/x
  3. Step 3: Cross multiply
    844,744x = 1,838,201 × 1,838,201
  4. Step 4: Simplify right side
    844,744x = 3,378,982,916,401
  5. Step 5: Solve for x
    x = 3,378,982,916,401/844,744
  6. Step 6: Final answer
    x = 4,000,008.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.