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Finding the Third Proportional to 670,608 and 1,565,064

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Solution

The third proportional to 670,608 and 1,565,064 is: 3,652,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,608 : 1,565,064 = 1,565,064 : x
  2. Step 2: Convert to fraction form
    670,608/1,565,064 = 1,565,064/x
  3. Step 3: Cross multiply
    670,608x = 1,565,064 × 1,565,064
  4. Step 4: Simplify right side
    670,608x = 2,449,425,324,096
  5. Step 5: Solve for x
    x = 2,449,425,324,096/670,608
  6. Step 6: Final answer
    x = 3,652,544.15

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.