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Finding the Third Proportional to 445,028 and 926,872

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Solution

The third proportional to 445,028 and 926,872 is: 1,930,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,028 : 926,872 = 926,872 : x
  2. Step 2: Convert to fraction form
    445,028/926,872 = 926,872/x
  3. Step 3: Cross multiply
    445,028x = 926,872 × 926,872
  4. Step 4: Simplify right side
    445,028x = 859,091,704,384
  5. Step 5: Solve for x
    x = 859,091,704,384/445,028
  6. Step 6: Final answer
    x = 1,930,421.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.