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Finding the Third Proportional to 980,266.50 and 2,149,182

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Solution

The third proportional to 980,266.50 and 2,149,182 is: 4,711,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,266.50 : 2,149,182 = 2,149,182 : x
  2. Step 2: Convert to fraction form
    980,266.50/2,149,182 = 2,149,182/x
  3. Step 3: Cross multiply
    980,266.50x = 2,149,182 × 2,149,182
  4. Step 4: Simplify right side
    980,266.50x = 4,618,983,269,124
  5. Step 5: Solve for x
    x = 4,618,983,269,124/980,266.50
  6. Step 6: Final answer
    x = 4,711,966.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.