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Finding the Third Proportional to 455,589 and 920,814.75

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Solution

The third proportional to 455,589 and 920,814.75 is: 1,861,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,589 : 920,814.75 = 920,814.75 : x
  2. Step 2: Convert to fraction form
    455,589/920,814.75 = 920,814.75/x
  3. Step 3: Cross multiply
    455,589x = 920,814.75 × 920,814.75
  4. Step 4: Simplify right side
    455,589x = 847,899,803,817.56
  5. Step 5: Solve for x
    x = 847,899,803,817.56/455,589
  6. Step 6: Final answer
    x = 1,861,106.84

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.