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Finding the Third Proportional to 445,791 and 869,255

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Solution

The third proportional to 445,791 and 869,255 is: 1,694,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,791 : 869,255 = 869,255 : x
  2. Step 2: Convert to fraction form
    445,791/869,255 = 869,255/x
  3. Step 3: Cross multiply
    445,791x = 869,255 × 869,255
  4. Step 4: Simplify right side
    445,791x = 755,604,255,025
  5. Step 5: Solve for x
    x = 755,604,255,025/445,791
  6. Step 6: Final answer
    x = 1,694,974.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.