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Finding the Third Proportional to 674,941.50 and 1,467,981

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Solution

The third proportional to 674,941.50 and 1,467,981 is: 3,192,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,941.50 : 1,467,981 = 1,467,981 : x
  2. Step 2: Convert to fraction form
    674,941.50/1,467,981 = 1,467,981/x
  3. Step 3: Cross multiply
    674,941.50x = 1,467,981 × 1,467,981
  4. Step 4: Simplify right side
    674,941.50x = 2,154,968,216,361
  5. Step 5: Solve for x
    x = 2,154,968,216,361/674,941.50
  6. Step 6: Final answer
    x = 3,192,822.22

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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.