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Finding the Third Proportional to 588,458 and 1,259,860

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Solution

The third proportional to 588,458 and 1,259,860 is: 2,697,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,458 : 1,259,860 = 1,259,860 : x
  2. Step 2: Convert to fraction form
    588,458/1,259,860 = 1,259,860/x
  3. Step 3: Cross multiply
    588,458x = 1,259,860 × 1,259,860
  4. Step 4: Simplify right side
    588,458x = 1,587,247,219,600
  5. Step 5: Solve for x
    x = 1,587,247,219,600/588,458
  6. Step 6: Final answer
    x = 2,697,299.08

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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.