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Finding the Third Proportional to 978,493.50 and 1,984,500

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Solution

The third proportional to 978,493.50 and 1,984,500 is: 4,024,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,493.50 : 1,984,500 = 1,984,500 : x
  2. Step 2: Convert to fraction form
    978,493.50/1,984,500 = 1,984,500/x
  3. Step 3: Cross multiply
    978,493.50x = 1,984,500 × 1,984,500
  4. Step 4: Simplify right side
    978,493.50x = 3,938,240,250,000
  5. Step 5: Solve for x
    x = 3,938,240,250,000/978,493.50
  6. Step 6: Final answer
    x = 4,024,799.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.