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Finding the Third Proportional to 940,786 and 2,032,474

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Solution

The third proportional to 940,786 and 2,032,474 is: 4,390,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,786 : 2,032,474 = 2,032,474 : x
  2. Step 2: Convert to fraction form
    940,786/2,032,474 = 2,032,474/x
  3. Step 3: Cross multiply
    940,786x = 2,032,474 × 2,032,474
  4. Step 4: Simplify right side
    940,786x = 4,130,950,560,676
  5. Step 5: Solve for x
    x = 4,130,950,560,676/940,786
  6. Step 6: Final answer
    x = 4,390,956.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.