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Finding the Third Proportional to 486,189 and 1,060,100

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Solution

The third proportional to 486,189 and 1,060,100 is: 2,311,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,189 : 1,060,100 = 1,060,100 : x
  2. Step 2: Convert to fraction form
    486,189/1,060,100 = 1,060,100/x
  3. Step 3: Cross multiply
    486,189x = 1,060,100 × 1,060,100
  4. Step 4: Simplify right side
    486,189x = 1,123,812,010,000
  5. Step 5: Solve for x
    x = 1,123,812,010,000/486,189
  6. Step 6: Final answer
    x = 2,311,471.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.