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Finding the Third Proportional to 599,032 and 1,303,016

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Solution

The third proportional to 599,032 and 1,303,016 is: 2,834,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,032 : 1,303,016 = 1,303,016 : x
  2. Step 2: Convert to fraction form
    599,032/1,303,016 = 1,303,016/x
  3. Step 3: Cross multiply
    599,032x = 1,303,016 × 1,303,016
  4. Step 4: Simplify right side
    599,032x = 1,697,850,696,256
  5. Step 5: Solve for x
    x = 1,697,850,696,256/599,032
  6. Step 6: Final answer
    x = 2,834,323.87

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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.