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Finding the Third Proportional to 925,182 and 1,972,512

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Solution

The third proportional to 925,182 and 1,972,512 is: 4,205,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,182 : 1,972,512 = 1,972,512 : x
  2. Step 2: Convert to fraction form
    925,182/1,972,512 = 1,972,512/x
  3. Step 3: Cross multiply
    925,182x = 1,972,512 × 1,972,512
  4. Step 4: Simplify right side
    925,182x = 3,890,803,590,144
  5. Step 5: Solve for x
    x = 3,890,803,590,144/925,182
  6. Step 6: Final answer
    x = 4,205,446.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.