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Finding the Third Proportional to 648,181 and 933,664

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Solution

The third proportional to 648,181 and 933,664 is: 1,344,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,181 : 933,664 = 933,664 : x
  2. Step 2: Convert to fraction form
    648,181/933,664 = 933,664/x
  3. Step 3: Cross multiply
    648,181x = 933,664 × 933,664
  4. Step 4: Simplify right side
    648,181x = 871,728,464,896
  5. Step 5: Solve for x
    x = 871,728,464,896/648,181
  6. Step 6: Final answer
    x = 1,344,884.32

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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.