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Finding the Third Proportional to 664,696 and 1,441,564

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Solution

The third proportional to 664,696 and 1,441,564 is: 3,126,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,696 : 1,441,564 = 1,441,564 : x
  2. Step 2: Convert to fraction form
    664,696/1,441,564 = 1,441,564/x
  3. Step 3: Cross multiply
    664,696x = 1,441,564 × 1,441,564
  4. Step 4: Simplify right side
    664,696x = 2,078,106,766,096
  5. Step 5: Solve for x
    x = 2,078,106,766,096/664,696
  6. Step 6: Final answer
    x = 3,126,401.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.