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Finding the Third Proportional to 412,004 and 891,400

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Solution

The third proportional to 412,004 and 891,400 is: 1,928,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,004 : 891,400 = 891,400 : x
  2. Step 2: Convert to fraction form
    412,004/891,400 = 891,400/x
  3. Step 3: Cross multiply
    412,004x = 891,400 × 891,400
  4. Step 4: Simplify right side
    412,004x = 794,593,960,000
  5. Step 5: Solve for x
    x = 794,593,960,000/412,004
  6. Step 6: Final answer
    x = 1,928,607.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.