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Finding the Third Proportional to 589,444 and 1,286,824

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Solution

The third proportional to 589,444 and 1,286,824 is: 2,809,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,444 : 1,286,824 = 1,286,824 : x
  2. Step 2: Convert to fraction form
    589,444/1,286,824 = 1,286,824/x
  3. Step 3: Cross multiply
    589,444x = 1,286,824 × 1,286,824
  4. Step 4: Simplify right side
    589,444x = 1,655,916,006,976
  5. Step 5: Solve for x
    x = 1,655,916,006,976/589,444
  6. Step 6: Final answer
    x = 2,809,284.69

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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.