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Finding the Third Proportional to 997,080 and 2,162,400

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Solution

The third proportional to 997,080 and 2,162,400 is: 4,689,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,080 : 2,162,400 = 2,162,400 : x
  2. Step 2: Convert to fraction form
    997,080/2,162,400 = 2,162,400/x
  3. Step 3: Cross multiply
    997,080x = 2,162,400 × 2,162,400
  4. Step 4: Simplify right side
    997,080x = 4,675,973,760,000
  5. Step 5: Solve for x
    x = 4,675,973,760,000/997,080
  6. Step 6: Final answer
    x = 4,689,667.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.