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Finding the Third Proportional to 684,728 and 1,526,812

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Solution

The third proportional to 684,728 and 1,526,812 is: 3,404,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,728 : 1,526,812 = 1,526,812 : x
  2. Step 2: Convert to fraction form
    684,728/1,526,812 = 1,526,812/x
  3. Step 3: Cross multiply
    684,728x = 1,526,812 × 1,526,812
  4. Step 4: Simplify right side
    684,728x = 2,331,154,883,344
  5. Step 5: Solve for x
    x = 2,331,154,883,344/684,728
  6. Step 6: Final answer
    x = 3,404,497.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.