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Finding the Third Proportional to 444,591 and 973,503

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Solution

The third proportional to 444,591 and 973,503 is: 2,131,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,591 : 973,503 = 973,503 : x
  2. Step 2: Convert to fraction form
    444,591/973,503 = 973,503/x
  3. Step 3: Cross multiply
    444,591x = 973,503 × 973,503
  4. Step 4: Simplify right side
    444,591x = 947,708,091,009
  5. Step 5: Solve for x
    x = 947,708,091,009/444,591
  6. Step 6: Final answer
    x = 2,131,640.30

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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.