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Finding the Third Proportional to 869,973 and 1,844,394

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Solution

The third proportional to 869,973 and 1,844,394 is: 3,910,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,973 : 1,844,394 = 1,844,394 : x
  2. Step 2: Convert to fraction form
    869,973/1,844,394 = 1,844,394/x
  3. Step 3: Cross multiply
    869,973x = 1,844,394 × 1,844,394
  4. Step 4: Simplify right side
    869,973x = 3,401,789,227,236
  5. Step 5: Solve for x
    x = 3,401,789,227,236/869,973
  6. Step 6: Final answer
    x = 3,910,223.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.