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Finding the Third Proportional to 674,068 and 1,467,164

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Solution

The third proportional to 674,068 and 1,467,164 is: 3,193,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,068 : 1,467,164 = 1,467,164 : x
  2. Step 2: Convert to fraction form
    674,068/1,467,164 = 1,467,164/x
  3. Step 3: Cross multiply
    674,068x = 1,467,164 × 1,467,164
  4. Step 4: Simplify right side
    674,068x = 2,152,570,202,896
  5. Step 5: Solve for x
    x = 2,152,570,202,896/674,068
  6. Step 6: Final answer
    x = 3,193,402.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.