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Finding the Third Proportional to 588,814 and 1,310,846

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Solution

The third proportional to 588,814 and 1,310,846 is: 2,918,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,814 : 1,310,846 = 1,310,846 : x
  2. Step 2: Convert to fraction form
    588,814/1,310,846 = 1,310,846/x
  3. Step 3: Cross multiply
    588,814x = 1,310,846 × 1,310,846
  4. Step 4: Simplify right side
    588,814x = 1,718,317,235,716
  5. Step 5: Solve for x
    x = 1,718,317,235,716/588,814
  6. Step 6: Final answer
    x = 2,918,268.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.