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Finding the Third Proportional to 426,823 and 892,851

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Solution

The third proportional to 426,823 and 892,851 is: 1,867,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,823 : 892,851 = 892,851 : x
  2. Step 2: Convert to fraction form
    426,823/892,851 = 892,851/x
  3. Step 3: Cross multiply
    426,823x = 892,851 × 892,851
  4. Step 4: Simplify right side
    426,823x = 797,182,908,201
  5. Step 5: Solve for x
    x = 797,182,908,201/426,823
  6. Step 6: Final answer
    x = 1,867,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.