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Finding the Third Proportional to 599,010 and 1,302,990

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Solution

The third proportional to 599,010 and 1,302,990 is: 2,834,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,010 : 1,302,990 = 1,302,990 : x
  2. Step 2: Convert to fraction form
    599,010/1,302,990 = 1,302,990/x
  3. Step 3: Cross multiply
    599,010x = 1,302,990 × 1,302,990
  4. Step 4: Simplify right side
    599,010x = 1,697,782,940,100
  5. Step 5: Solve for x
    x = 1,697,782,940,100/599,010
  6. Step 6: Final answer
    x = 2,834,314.85

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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.