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Finding the Third Proportional to 543,154 and 1,193,300

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Solution

The third proportional to 543,154 and 1,193,300 is: 2,621,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,154 : 1,193,300 = 1,193,300 : x
  2. Step 2: Convert to fraction form
    543,154/1,193,300 = 1,193,300/x
  3. Step 3: Cross multiply
    543,154x = 1,193,300 × 1,193,300
  4. Step 4: Simplify right side
    543,154x = 1,423,964,890,000
  5. Step 5: Solve for x
    x = 1,423,964,890,000/543,154
  6. Step 6: Final answer
    x = 2,621,659.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.