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Finding the Third Proportional to 640,165 and 1,379,575

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Solution

The third proportional to 640,165 and 1,379,575 is: 2,973,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,165 : 1,379,575 = 1,379,575 : x
  2. Step 2: Convert to fraction form
    640,165/1,379,575 = 1,379,575/x
  3. Step 3: Cross multiply
    640,165x = 1,379,575 × 1,379,575
  4. Step 4: Simplify right side
    640,165x = 1,903,227,180,625
  5. Step 5: Solve for x
    x = 1,903,227,180,625/640,165
  6. Step 6: Final answer
    x = 2,973,025.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.