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Finding the Third Proportional to 664,904 and 1,425,064

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Solution

The third proportional to 664,904 and 1,425,064 is: 3,054,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,904 : 1,425,064 = 1,425,064 : x
  2. Step 2: Convert to fraction form
    664,904/1,425,064 = 1,425,064/x
  3. Step 3: Cross multiply
    664,904x = 1,425,064 × 1,425,064
  4. Step 4: Simplify right side
    664,904x = 2,030,807,404,096
  5. Step 5: Solve for x
    x = 2,030,807,404,096/664,904
  6. Step 6: Final answer
    x = 3,054,286.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.