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Finding the Third Proportional to 925,201 and 1,451,695

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Solution

The third proportional to 925,201 and 1,451,695 is: 2,277,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,201 : 1,451,695 = 1,451,695 : x
  2. Step 2: Convert to fraction form
    925,201/1,451,695 = 1,451,695/x
  3. Step 3: Cross multiply
    925,201x = 1,451,695 × 1,451,695
  4. Step 4: Simplify right side
    925,201x = 2,107,418,373,025
  5. Step 5: Solve for x
    x = 2,107,418,373,025/925,201
  6. Step 6: Final answer
    x = 2,277,795.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.