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Finding the Third Proportional to 862,844 and 1,306,330

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Solution

The third proportional to 862,844 and 1,306,330 is: 1,977,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,844 : 1,306,330 = 1,306,330 : x
  2. Step 2: Convert to fraction form
    862,844/1,306,330 = 1,306,330/x
  3. Step 3: Cross multiply
    862,844x = 1,306,330 × 1,306,330
  4. Step 4: Simplify right side
    862,844x = 1,706,498,068,900
  5. Step 5: Solve for x
    x = 1,706,498,068,900/862,844
  6. Step 6: Final answer
    x = 1,977,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.