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Finding the Third Proportional to 980,169 and 2,123,235

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Solution

The third proportional to 980,169 and 2,123,235 is: 4,599,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,169 : 2,123,235 = 2,123,235 : x
  2. Step 2: Convert to fraction form
    980,169/2,123,235 = 2,123,235/x
  3. Step 3: Cross multiply
    980,169x = 2,123,235 × 2,123,235
  4. Step 4: Simplify right side
    980,169x = 4,508,126,865,225
  5. Step 5: Solve for x
    x = 4,508,126,865,225/980,169
  6. Step 6: Final answer
    x = 4,599,336.30

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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.