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Finding the Third Proportional to 501,225 and 1,169,567

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Solution

The third proportional to 501,225 and 1,169,567 is: 2,729,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,225 : 1,169,567 = 1,169,567 : x
  2. Step 2: Convert to fraction form
    501,225/1,169,567 = 1,169,567/x
  3. Step 3: Cross multiply
    501,225x = 1,169,567 × 1,169,567
  4. Step 4: Simplify right side
    501,225x = 1,367,886,967,489
  5. Step 5: Solve for x
    x = 1,367,886,967,489/501,225
  6. Step 6: Final answer
    x = 2,729,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.