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Finding the Third Proportional to 600,824 and 1,286,940

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Solution

The third proportional to 600,824 and 1,286,940 is: 2,756,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,824 : 1,286,940 = 1,286,940 : x
  2. Step 2: Convert to fraction form
    600,824/1,286,940 = 1,286,940/x
  3. Step 3: Cross multiply
    600,824x = 1,286,940 × 1,286,940
  4. Step 4: Simplify right side
    600,824x = 1,656,214,563,600
  5. Step 5: Solve for x
    x = 1,656,214,563,600/600,824
  6. Step 6: Final answer
    x = 2,756,571.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.