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Finding the Third Proportional to 699,016 and 1,516,400

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Solution

The third proportional to 699,016 and 1,516,400 is: 3,289,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,016 : 1,516,400 = 1,516,400 : x
  2. Step 2: Convert to fraction form
    699,016/1,516,400 = 1,516,400/x
  3. Step 3: Cross multiply
    699,016x = 1,516,400 × 1,516,400
  4. Step 4: Simplify right side
    699,016x = 2,299,468,960,000
  5. Step 5: Solve for x
    x = 2,299,468,960,000/699,016
  6. Step 6: Final answer
    x = 3,289,579.87

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Why These Related Problems?

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