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Finding the Third Proportional to 456,449 and 926,722

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Solution

The third proportional to 456,449 and 926,722 is: 1,881,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,449 : 926,722 = 926,722 : x
  2. Step 2: Convert to fraction form
    456,449/926,722 = 926,722/x
  3. Step 3: Cross multiply
    456,449x = 926,722 × 926,722
  4. Step 4: Simplify right side
    456,449x = 858,813,665,284
  5. Step 5: Solve for x
    x = 858,813,665,284/456,449
  6. Step 6: Final answer
    x = 1,881,510.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.