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Finding the Third Proportional to 639,768 and 1,481,064

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Solution

The third proportional to 639,768 and 1,481,064 is: 3,428,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,768 : 1,481,064 = 1,481,064 : x
  2. Step 2: Convert to fraction form
    639,768/1,481,064 = 1,481,064/x
  3. Step 3: Cross multiply
    639,768x = 1,481,064 × 1,481,064
  4. Step 4: Simplify right side
    639,768x = 2,193,550,572,096
  5. Step 5: Solve for x
    x = 2,193,550,572,096/639,768
  6. Step 6: Final answer
    x = 3,428,665.66

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.