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Finding the Third Proportional to 427,320 and 923,166

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Solution

The third proportional to 427,320 and 923,166 is: 1,994,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,320 : 923,166 = 923,166 : x
  2. Step 2: Convert to fraction form
    427,320/923,166 = 923,166/x
  3. Step 3: Cross multiply
    427,320x = 923,166 × 923,166
  4. Step 4: Simplify right side
    427,320x = 852,235,463,556
  5. Step 5: Solve for x
    x = 852,235,463,556/427,320
  6. Step 6: Final answer
    x = 1,994,372.98

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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.