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Finding the Third Proportional to 920,823 and 2,024,355

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Solution

The third proportional to 920,823 and 2,024,355 is: 4,450,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,823 : 2,024,355 = 2,024,355 : x
  2. Step 2: Convert to fraction form
    920,823/2,024,355 = 2,024,355/x
  3. Step 3: Cross multiply
    920,823x = 2,024,355 × 2,024,355
  4. Step 4: Simplify right side
    920,823x = 4,098,013,166,025
  5. Step 5: Solve for x
    x = 4,098,013,166,025/920,823
  6. Step 6: Final answer
    x = 4,450,380.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.