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Finding the Third Proportional to 980,228 and 2,123,302

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Solution

The third proportional to 980,228 and 2,123,302 is: 4,599,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,228 : 2,123,302 = 2,123,302 : x
  2. Step 2: Convert to fraction form
    980,228/2,123,302 = 2,123,302/x
  3. Step 3: Cross multiply
    980,228x = 2,123,302 × 2,123,302
  4. Step 4: Simplify right side
    980,228x = 4,508,411,383,204
  5. Step 5: Solve for x
    x = 4,508,411,383,204/980,228
  6. Step 6: Final answer
    x = 4,599,349.73

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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.