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Finding the Third Proportional to 664,396 and 1,030,720

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Solution

The third proportional to 664,396 and 1,030,720 is: 1,599,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,396 : 1,030,720 = 1,030,720 : x
  2. Step 2: Convert to fraction form
    664,396/1,030,720 = 1,030,720/x
  3. Step 3: Cross multiply
    664,396x = 1,030,720 × 1,030,720
  4. Step 4: Simplify right side
    664,396x = 1,062,383,718,400
  5. Step 5: Solve for x
    x = 1,062,383,718,400/664,396
  6. Step 6: Final answer
    x = 1,599,021.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.