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Finding the Third Proportional to 407,043 and 886,401

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Solution

The third proportional to 407,043 and 886,401 is: 1,930,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,043 : 886,401 = 886,401 : x
  2. Step 2: Convert to fraction form
    407,043/886,401 = 886,401/x
  3. Step 3: Cross multiply
    407,043x = 886,401 × 886,401
  4. Step 4: Simplify right side
    407,043x = 785,706,732,801
  5. Step 5: Solve for x
    x = 785,706,732,801/407,043
  6. Step 6: Final answer
    x = 1,930,279.44

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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.