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Finding the Third Proportional to 674,960 and 1,002,064

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Solution

The third proportional to 674,960 and 1,002,064 is: 1,487,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,960 : 1,002,064 = 1,002,064 : x
  2. Step 2: Convert to fraction form
    674,960/1,002,064 = 1,002,064/x
  3. Step 3: Cross multiply
    674,960x = 1,002,064 × 1,002,064
  4. Step 4: Simplify right side
    674,960x = 1,004,132,260,096
  5. Step 5: Solve for x
    x = 1,004,132,260,096/674,960
  6. Step 6: Final answer
    x = 1,487,691.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.