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Finding the Third Proportional to 444,640 and 973,608

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Solution

The third proportional to 444,640 and 973,608 is: 2,131,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,640 : 973,608 = 973,608 : x
  2. Step 2: Convert to fraction form
    444,640/973,608 = 973,608/x
  3. Step 3: Cross multiply
    444,640x = 973,608 × 973,608
  4. Step 4: Simplify right side
    444,640x = 947,912,537,664
  5. Step 5: Solve for x
    x = 947,912,537,664/444,640
  6. Step 6: Final answer
    x = 2,131,865.19

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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.