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Finding the Third Proportional to 588,450 and 1,259,844

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Solution

The third proportional to 588,450 and 1,259,844 is: 2,697,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,450 : 1,259,844 = 1,259,844 : x
  2. Step 2: Convert to fraction form
    588,450/1,259,844 = 1,259,844/x
  3. Step 3: Cross multiply
    588,450x = 1,259,844 × 1,259,844
  4. Step 4: Simplify right side
    588,450x = 1,587,206,904,336
  5. Step 5: Solve for x
    x = 1,587,206,904,336/588,450
  6. Step 6: Final answer
    x = 2,697,267.23

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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.