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Finding the Third Proportional to 1,957,402 and 4,297,782

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Solution

The third proportional to 1,957,402 and 4,297,782 is: 9,436,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,402 : 4,297,782 = 4,297,782 : x
  2. Step 2: Convert to fraction form
    1,957,402/4,297,782 = 4,297,782/x
  3. Step 3: Cross multiply
    1,957,402x = 4,297,782 × 4,297,782
  4. Step 4: Simplify right side
    1,957,402x = 18,470,930,119,524
  5. Step 5: Solve for x
    x = 18,470,930,119,524/1,957,402
  6. Step 6: Final answer
    x = 9,436,452.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.