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Finding the Third Proportional to 940,400 and 2,219,564

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Solution

The third proportional to 940,400 and 2,219,564 is: 5,238,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,400 : 2,219,564 = 2,219,564 : x
  2. Step 2: Convert to fraction form
    940,400/2,219,564 = 2,219,564/x
  3. Step 3: Cross multiply
    940,400x = 2,219,564 × 2,219,564
  4. Step 4: Simplify right side
    940,400x = 4,926,464,350,096
  5. Step 5: Solve for x
    x = 4,926,464,350,096/940,400
  6. Step 6: Final answer
    x = 5,238,690.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.