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Finding the Third Proportional to 492,558 and 1,063,704

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Solution

The third proportional to 492,558 and 1,063,704 is: 2,297,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,558 : 1,063,704 = 1,063,704 : x
  2. Step 2: Convert to fraction form
    492,558/1,063,704 = 1,063,704/x
  3. Step 3: Cross multiply
    492,558x = 1,063,704 × 1,063,704
  4. Step 4: Simplify right side
    492,558x = 1,131,466,199,616
  5. Step 5: Solve for x
    x = 1,131,466,199,616/492,558
  6. Step 6: Final answer
    x = 2,297,122.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.