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Finding the Third Proportional to 419,569 and 920,796

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Solution

The third proportional to 419,569 and 920,796 is: 2,020,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,569 : 920,796 = 920,796 : x
  2. Step 2: Convert to fraction form
    419,569/920,796 = 920,796/x
  3. Step 3: Cross multiply
    419,569x = 920,796 × 920,796
  4. Step 4: Simplify right side
    419,569x = 847,865,273,616
  5. Step 5: Solve for x
    x = 847,865,273,616/419,569
  6. Step 6: Final answer
    x = 2,020,800.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.