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Finding the Third Proportional to 535,300 and 1,188,680

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Solution

The third proportional to 535,300 and 1,188,680 is: 2,639,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,300 : 1,188,680 = 1,188,680 : x
  2. Step 2: Convert to fraction form
    535,300/1,188,680 = 1,188,680/x
  3. Step 3: Cross multiply
    535,300x = 1,188,680 × 1,188,680
  4. Step 4: Simplify right side
    535,300x = 1,412,960,142,400
  5. Step 5: Solve for x
    x = 1,412,960,142,400/535,300
  6. Step 6: Final answer
    x = 2,639,566.86

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.