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Finding the Third Proportional to 445,153 and 943,273

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Solution

The third proportional to 445,153 and 943,273 is: 1,998,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,153 : 943,273 = 943,273 : x
  2. Step 2: Convert to fraction form
    445,153/943,273 = 943,273/x
  3. Step 3: Cross multiply
    445,153x = 943,273 × 943,273
  4. Step 4: Simplify right side
    445,153x = 889,763,952,529
  5. Step 5: Solve for x
    x = 889,763,952,529/445,153
  6. Step 6: Final answer
    x = 1,998,782.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.