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Finding the Third Proportional to 940,408 and 2,219,582

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Solution

The third proportional to 940,408 and 2,219,582 is: 5,238,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,408 : 2,219,582 = 2,219,582 : x
  2. Step 2: Convert to fraction form
    940,408/2,219,582 = 2,219,582/x
  3. Step 3: Cross multiply
    940,408x = 2,219,582 × 2,219,582
  4. Step 4: Simplify right side
    940,408x = 4,926,544,254,724
  5. Step 5: Solve for x
    x = 4,926,544,254,724/940,408
  6. Step 6: Final answer
    x = 5,238,730.69

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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.