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Finding the Third Proportional to 427,150 and 939,567

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Solution

The third proportional to 427,150 and 939,567 is: 2,066,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,150 : 939,567 = 939,567 : x
  2. Step 2: Convert to fraction form
    427,150/939,567 = 939,567/x
  3. Step 3: Cross multiply
    427,150x = 939,567 × 939,567
  4. Step 4: Simplify right side
    427,150x = 882,786,147,489
  5. Step 5: Solve for x
    x = 882,786,147,489/427,150
  6. Step 6: Final answer
    x = 2,066,688.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.