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Finding the Third Proportional to 669,828 and 1,444,608

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Solution

The third proportional to 669,828 and 1,444,608 is: 3,115,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,828 : 1,444,608 = 1,444,608 : x
  2. Step 2: Convert to fraction form
    669,828/1,444,608 = 1,444,608/x
  3. Step 3: Cross multiply
    669,828x = 1,444,608 × 1,444,608
  4. Step 4: Simplify right side
    669,828x = 2,086,892,273,664
  5. Step 5: Solve for x
    x = 2,086,892,273,664/669,828
  6. Step 6: Final answer
    x = 3,115,564.40

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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.