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Finding the Third Proportional to 648,179 and 933,661

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Solution

The third proportional to 648,179 and 933,661 is: 1,344,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,179 : 933,661 = 933,661 : x
  2. Step 2: Convert to fraction form
    648,179/933,661 = 933,661/x
  3. Step 3: Cross multiply
    648,179x = 933,661 × 933,661
  4. Step 4: Simplify right side
    648,179x = 871,722,862,921
  5. Step 5: Solve for x
    x = 871,722,862,921/648,179
  6. Step 6: Final answer
    x = 1,344,879.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.