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Finding the Third Proportional to 445,026 and 926,868

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Solution

The third proportional to 445,026 and 926,868 is: 1,930,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,026 : 926,868 = 926,868 : x
  2. Step 2: Convert to fraction form
    445,026/926,868 = 926,868/x
  3. Step 3: Cross multiply
    445,026x = 926,868 × 926,868
  4. Step 4: Simplify right side
    445,026x = 859,084,289,424
  5. Step 5: Solve for x
    x = 859,084,289,424/445,026
  6. Step 6: Final answer
    x = 1,930,413.70

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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.