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Finding the Third Proportional to 550,804.50 and 1,202,697

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Solution

The third proportional to 550,804.50 and 1,202,697 is: 2,626,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,804.50 : 1,202,697 = 1,202,697 : x
  2. Step 2: Convert to fraction form
    550,804.50/1,202,697 = 1,202,697/x
  3. Step 3: Cross multiply
    550,804.50x = 1,202,697 × 1,202,697
  4. Step 4: Simplify right side
    550,804.50x = 1,446,480,073,809
  5. Step 5: Solve for x
    x = 1,446,480,073,809/550,804.50
  6. Step 6: Final answer
    x = 2,626,122.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.