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Finding the Third Proportional to 683,172 and 1,467,432

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Solution

The third proportional to 683,172 and 1,467,432 is: 3,151,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,172 : 1,467,432 = 1,467,432 : x
  2. Step 2: Convert to fraction form
    683,172/1,467,432 = 1,467,432/x
  3. Step 3: Cross multiply
    683,172x = 1,467,432 × 1,467,432
  4. Step 4: Simplify right side
    683,172x = 2,153,356,674,624
  5. Step 5: Solve for x
    x = 2,153,356,674,624/683,172
  6. Step 6: Final answer
    x = 3,151,997.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.