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Finding the Third Proportional to 1,014,286 and 1,579,589

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Solution

The third proportional to 1,014,286 and 1,579,589 is: 2,459,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,286 : 1,579,589 = 1,579,589 : x
  2. Step 2: Convert to fraction form
    1,014,286/1,579,589 = 1,579,589/x
  3. Step 3: Cross multiply
    1,014,286x = 1,579,589 × 1,579,589
  4. Step 4: Simplify right side
    1,014,286x = 2,495,101,408,921
  5. Step 5: Solve for x
    x = 2,495,101,408,921/1,014,286
  6. Step 6: Final answer
    x = 2,459,958.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.